Assuming there are no reflections or dilations,
explain how you would write the equation of the
function whose graph is sketched below.
ty
4
-8
-4

Answers

Answer 1

Answer:

Start with the parent function y=1/x^2.

Add 3 to x in the denominator, because the graph is shifted left 3. Add 1 to the fraction, because the graph is shifted up 1 unit.

Step-by-step explanation:

Answer 2

When a function is transformed, it means the function is either rotated, dilated, rotated or translated.

The equation of the function whose graph is sketched is:

[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]

The parent function is an inverse function of the form:

[tex]y = \frac 1{x^2}[/tex]

The parent function is shifted in two ways.

3 units left1 unit up

When a function is shifted to the left, the rule is:

[tex](x,y) \to (x + h,y)[/tex]

Where:

[tex]h \to[/tex] number of units.

So, we have:

[tex](x,y) \to (x + 3,y)[/tex]

The function becomes

[tex]y' = \frac{1}{(x + 3)^2}[/tex]

When a function is shifted up, the rule is:

[tex](x,y) \to (x ,y+b)[/tex]

Where:

[tex]b \to[/tex] number of units.

So, we have:

[tex](x,y) \to (x ,y+1)[/tex]

The function becomes

[tex]y'' = \frac{1}{(x + 3)^2} + 1[/tex]

So, the graph of the function in the given graph (see attachment) is:

[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]

Read more about transformations at:

https://brainly.com/question/11707700

Assuming There Are No Reflections Or Dilations,explain How You Would Write The Equation Of Thefunction

Related Questions

Alicia went shopping for fruit. She
bought 6 pounds of apples, 24 pounds
of oranges, and 3 pounds of bananas.
How many pounds of fruit did she buy
altogether?
C. 11;
A. 8
B. 111
D. none of these

Answers

Answer:

D. none of these

Step-by-step explanation:

apples:       6 pounds

oranges:   24 pounds

bananas:     3 pounds

total:          33  pounds

answer:

D. none of these

Explain why points and lines may be coplaner even when the plane containing them is not drawn. Give Examples.

Answers

Answer:

The reason why points and lines my be co-planer even when the plane containing them is not drawn is because the by their definition two lines or a line and a  point or three points which are fixed in space always have have a direction of view from which they appear as a single line, or for the three points, appear to be on a single line.

This can be demonstrated by the shape of a cross which is always planner

Examples include

1) Straight lines drawn across both side of the pages of an open book to meet at the center pf the book can always be made planner by the orientation#

2) This can be also demonstrated by the plane of the two lines in the shape of a cross which is always planner regardless of the orientation of the cross

3) The dimension that can be defined by three points alone is that of a planner  (2-dimensional) triangle shape

Step-by-step explanation:

3 + 4n - 8 + 2x use n = 5 and x = 7

Answers

your answer is -33!

if you plug it in you get the equation
3+4(5)-8(7)
you’re going to use PEMDAS and first distribute the 5 and 7 so you get the equation
3+20-56
23-56
-33

Let f(x)=4x+9. Write a function g whose graph is a reflection in the y-axis of the graph of f. g(x)= ?

Answers

Answer:

[tex]g(x)=-4x+9[/tex]

Step-by-step explanation:

So we know that:

[tex]f(x)=4x+9[/tex]

To reflect across the y-axis, instead of x, use -x. Therefore:

[tex]g(x)=f(-x)=4(-x)+9[/tex]

Simplify:

[tex]g(x)=-4x+9[/tex]

And that's our answer :)

i need some help, with my algebra ​

Answers

Answer:

Hey there!

Perimeter: 24

Area: 24

36+64=x^2

x=10

Perimeter: 10+6+8=24

Area: 1/2bh, 1/2(48)=24

Both the area and perimeter are 24.

Hope this helps :)

Answer:

P=24

A=24

Step-by-step explanation:

To get the perimeter and area of this figure, first we would have to get the value of c using the Pythagorean theorem.

a^2+b^2=c^2

(6)^2+(8)^2=c^2

36+64=c^2

100=c^2

10=c

Perimeter= a+b+c

P=6+8+10

P=14+10

P=24

A=1/2*b*h

A=1/2*6*8

A=3*8

A=24

Hope this helps ;) ❤❤❤

ANSWER IT PLZ! Evaluate the expression. 3² + 6 × 2² - 4² ÷ 2³ = ?

Answers

Answer:

3² + 6 × 2² - 4² ÷ 2³ = 31.

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3^2=9

2^2=4

-4^2= -16

2^3=8

9+6*4-16/8=31

Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 in addition to a constant fee for each vertical meter climbed. For instance, the price for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400. Let F represent the fee (in dollars) of a trip where they climbed d vertical meters. Complete the equation for the relationship between the fee and vertical distance. F=

Answers

Answer:

F = 100 + 0.1d

Step-by-step explanation:

Initial charge is $100Price for climbing 3000 m = 400

Then equation to find a fee per vertical distance:

100+3000x = 4003000x = 300x = 300/3000x = $0.1 per/m

So the fee for climbing vertical distance is $0.1 per meter.

Vertical distance = d mTotal cost = F

Then, required equation is:

F = 100 + 0.1d

there are 13 boys and 10 girls in the classroom.what is the ratio of boys and girls

Answers

Answer:Step-by-step explanation: 13:10

Simplify: -4b^6 + (-26b^6)

Answers

Answer:

-30[tex]b^{6}[/tex]

Step-by-step explanation:

-4b^6 + -24b^6 = -30b^6

Plz help ASAP!!! WILL MARK YOU BRAINLIEST IF YOU ANSWER IS CORRECT!!! Question#6

Answers

Answer:

B

Step-by-step explanation:

Recall that the domain is the span of x-values covered by the graph, while the range is the span of y-values covered by the graph.

From the graph, we can see that the span of x-values covered goes from x=-2 to x=1.

However, note that while at x=-2, the dot is closed, while at x=1, the dot is open. This means that we do not include the point at x=1. Therefore, the domain is all values of x between x=-2 and x=1 not including x=1.

In set notation, this is:

[tex]\{x|-2\leq x<1\}[/tex]

Thus, the domain is all values greater than or equal to -2 but less than 1.

For the range, we can see that the graph spans from y=-4 to y=2. Again, at y=2, the dot is open. Thus, we do not include y=2 in our range.

In set notation, this is:

[tex]\{y|-4\leq y<2\}[/tex]

This is interpreted as all y-values greater than or equal to -4 but less than 2.

The answer is B

How do you solve this

Answers

Answer:

You cannot

Step-by-step explanation:

You cannot multiply a 2×3 matrix by a 2×2 matrix. The number of columns in the first matrix ( 3 ) is not the same as the number of rows in the second matrix ( 2 ).

Can you please help me. Iḿ literally struggling. The question is mx+4y=3c for x

Answers

Answer:

x = [tex]\frac{3c-4y}{m}[/tex]

Step-by-step explanation:

Given

mx + 4y = 3c ( subtract 4y from both sides )

mx = 3c - 4y ( divide both sides by m )

x = [tex]\frac{3c-4y}{m}[/tex]

HELPPP!


A.170∘ B.25∘ C.5∘ D.10∘

Answers

Answer:B

Step-by-step explanation:

Solve the equation.y+6=-3y+26

Answers

Answer:

y = 5

Step-by-step explanation:

y + 6 = -3y + 26

4y + 6 = 26

4y = 20

y = 5

Answer:

Y=5

Step-by-step explanation:

1 Subtract 6 from both sides.

y=−3y+26−6

2 Simplify   -3y+26-6−3y+26−6  to  -3y+20−3y+20.

y=−3y+20

3 Add 3y to both sides.

y+3y=20

4.Simplify y+3y to 4y

4y=20

5 Divide both sides by 4.

y=20/4

Simplify 20/4

y=5

Solve the following addition problem 8.08 + 2.78​

Answers

Answer:

its 10.86

Step-by-step explanation:

add the whole numbers, the add the decimals

8 + 2= 10

.08 + .78 = .86

or 8 + 78 = 86

Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons.

Answers

Answer:

1 pint=32    1 quart=64    1 gallon=256

Step-by-step explanation:

If 4 is subtracted from twice a number, the result is 10 less than the number. Find the number.

Answers

Answer: -6

Step-by-step explanation:

Let x= the number

2x-4=x-10 ⇔ according to the statement

  x-4=-10 ⇔ subtraction property of equality (subtract x from both sides)

     x=-6 ⇔ addition property of equality (add 4 on both sides)

Hope this helps!! :)

Please let me know if you have any question

Answer:

n = -6

Step-by-step explanation:

Alright so this can be solved by using variables. Let's say n = number.

4 subtracted from twice a number can be represented as 2n - 4.

10 less than the number can be represented as n - 10.

Since the outcome of the first expression is equal to the second, we can set them equal to each other to solve:

2n - 4 = n - 10.

Then you isolate n by adding 4 to both sides...

2n = n - 6,

... then subtracting n from both sides:

n = -6

There you go!

WILL GIVE BRAINLIEST! Prove that a quadrilateral ABCD with vertices A(–1, –2), B( 2, –5), C(1, –2), and D( –2, 1) is a parallelogram. Find the point of intersection of the diagonals of parallelogram ABCD. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online.

Answers

Answer:

Step-by-step explanation:

To prove a quadrilateral a parallelogram we prove,

1). Length of opposite sides are equal.

2). Slopes of the opposite sides are same.

Length of AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                      = [tex]\sqrt{(2+1)^2+(-5+2)^2}[/tex]

                      = [tex]3\sqrt{2}[/tex]

Length of BC = [tex]\sqrt{(2-1)^2+(-5+2)^2}[/tex]

                      = [tex]\sqrt{10}[/tex]

Length of CD = [tex]\sqrt{(1+2)^2+(-2-1)^2}[/tex]

                      = [tex]3\sqrt{2}[/tex]

Length of AD = [tex]\sqrt{(-1+2)^2+(-2-1)^2}[/tex]

                      = [tex]\sqrt{10}[/tex]

Therefore, AB = CD and BC = AD (Opposite sides are equal in length)

Slope of AB = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                    = [tex]\frac{-5+2}{2+1}[/tex]

                    = -1

Slope of BC = [tex]\frac{-5+2}{2-1}[/tex]

                    = -3

Slope of CD = [tex]\frac{1+2}{-2-1}[/tex]

                    = -1

Slope of AD = [tex]\frac{-2-1}{-1+2}[/tex]

                    = -3

Slope of AB = slope of CD and slope of BC = slope AD

Therefore, AB║CD and BC║AD

Hence ABCD is a parallelogram

A cherry farmer has 5,236 cherries to put into jars. It takes 77 cherries to fill one jar. How
many jars will the farmer be able to fill with cherries?
jars

Answers

Answer:

about 68 jars

Step-by-step explanation:

5,236 divided by 77, because there are 5,236 cherries and 77 fills one jar.

Coefficient of 'a'in the term

Answers

Answer: option 1. -3/4

Step-by-step explanation:

coefficient: the number before a variable (but must be bounded with it)

------------

-3/4 a

coefficient: -3/4 (-3/4a)

Hope this helps!! :)

Please let me know if you have any question

solve the following equation show your work -1/2w - 3/5 = 1/5w

Answers

Answer:

w = (-6)/7

Step-by-step explanation:

Solve for w:

-w/2 - 3/5 = w/5

Hint: | Put the fractions in -w/2 - 3/5 over a common denominator.

Put each term in -w/2 - 3/5 over the common denominator 10: -w/2 - 3/5 = (-5 w)/10 - 6/10:

(-5 w)/10 - 6/10 = w/5

Hint: | Combine (-5 w)/10 - 6/10 into a single fraction.

(-5 w)/10 - 6/10 = (-5 w - 6)/10:

(-5 w - 6)/10 = w/5

Hint: | Make (-5 w - 6)/10 = w/5 simpler by multiplying both sides by a constant.

Multiply both sides by 10:

(10 (-5 w - 6))/10 = 2 w

Hint: | Cancel common terms in the numerator and denominator of (10 (-5 w - 6))/10.

(10 (-5 w - 6))/10 = 10/10×(-5 w - 6) = -5 w - 6:

-5 w - 6 = (10 w)/5

Hint: | In (10 w)/5, divide 10 in the numerator by 5 in the denominator.

10/5 = (5×2)/5 = 2:

-5 w - 6 = 2 w

Hint: | Move terms with w to the left hand side.

Subtract 2 w from both sides:

(-5 w - 2 w) - 6 = 2 w - 2 w

Hint: | Combine like terms in -5 w - 2 w.

-5 w - 2 w = -7 w:

-7 w - 6 = 2 w - 2 w

Hint: | Look for the difference of two identical terms.

2 w - 2 w = 0:

-7 w - 6 = 0

Hint: | Isolate terms with w to the left hand side.

Add 6 to both sides:

(6 - 6) - 7 w = 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

-7 w = 6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -7 w = 6 by -7:

(-7 w)/(-7) = 6/(-7)

Hint: | Any nonzero number divided by itself is one.

(-7)/(-7) = 1:

w = 6/(-7)

Hint: | Simplify the sign of 6/(-7).

Multiply numerator and denominator of 6/(-7) by -1:

Answer: w = (-6)/7

Answer:

-5/10w - 3/5 = 2/10w

- 3/5 = 7/10w

-30 = 35w

-30/35 = w

-6/7 = w

-----

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

The perimeter of the square kitchen floor measures 48 feet. What is the area of the kitchen floor?
32 feet
96 square feet
144 square feet
144 cubic feet

Answers

Answer:

144 square feet

Step-by-step explanation:

a square has 4 equal sides + perimeter is the addition of n sides in an n sided shape. 48/4 = 12 so there is 12 feet per side. Area is length times height so 12 x 12 or 144. Two terms multiplied create a square feet so answer is c

Answer:

Step-by-step explanation −2=x

evaluate the following absolute value expression |-6 |

Answers

Answer:

6

Step-by-step explanation:

|-6| = 6

Answer:

6

Step-by-step explanation:

you can also understand absolute value as the distance in the number line from -6 to 0

and that's 0-(-6)

=6

so

|-6|=6

what is the answer for this problem -52 = 4(3n-1)

Answers

Answer:  n =-4

Step-by-step explanation:

-52 = 4(3n -1)    Apply the distributive property

-52 = 12n -4    

+4             +4

  -48 = 12n

n = -4

PLEASE HELP !! Which of the following is the midpoint of a line segment with endpoints (-2,-4) and (6,8)? (4,6) or (4,4) or (2,2) or (2,4)

Answers

Answer:

The answer is (2 , 2)

Step-by-step explanation:

The midpoint M of a line segment with two endpoints can be found using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The endpoints are (-2,-4) and (6,8)

The midpoint is

[tex]M = ( \frac{ - 2 + 6}{2} , \frac{ - 4 +8 }{2} ) \\ = ( \frac{4}{2} , \frac{ 4 }{2} )[/tex]

We have the final answer as

M = ( 2 , 2)

Hope this helps you

Selena rewrote the expression 36 + 54 as two factors using the greatest common factor and the distributive property. What expression did Selena create?

Answers

Answer:

18 ( 2+3)

Step-by-step explanation:

36 + 54

We can factor out 18 from both terms

18*2 + 18*3

18 ( 2+3)

Select all names that apply to the Number
√4

Answers

Answer:

[tex] \sqrt{4} = 2[/tex]

Step by step explaination:

[tex] \sqrt{4} \\ = \sqrt{ {2}^{2} } \\ = 2[/tex]

ANSWER

[tex]\sf\therefore \sqrt{4}=? [/tex]

[tex]\sf\implies \sqrt{ 2 \times2} [/tex]

[tex]\sf\implies \sqrt{2^2} [/tex]

[tex]\sf\implies 2[/tex]

[tex]\large{\boxed{\bf{ \implies \:2\:}}}[/tex]

______________

−2 = −(n − 8) with step by step please

Answers

Answer:

n = 10

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

-2 = -(n - 8)

Step 2: Parenthesis (distribute)

-2 = -n + 8

Step 3: Subtract 8 on both sides

-10 = -n

Step 4: Divide both sides by -1

10 = n

Step 5: Rewrite

n = 10

Answer:

[tex]n=10[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-2=-(n-8)[/tex]

First, divide both sides by -1. The left will become positive, and the negative in front of the parentheses will be canceled:

[tex](-2)/-1=(-(n-8))/-1\\2=n-8[/tex]

Add 8 to both sides. The right cancels:

[tex]2+8=(n-8)+8\\n=10[/tex]

So, the value of n is 10.

And we're done!

rewrite in simplest terms: 9(3– 3t) – 2t – 10(8t + s)

Answers

Answer:

27 − 109 t − 10 s

Step-by-step explanation:

Use Distributive Property and Simplify

9x3 =27

9x3t = 27t

27t-2t =25t

Equation so far: 27 + 25t

Next Pair of Perentheis

-10x8t =(-80t) (Remeber a Negative time a positive is still a negative)

-10xs =(-10s)

Put it all together and your answer is;

27 − 109 t − 10 s

Answer:

it's 27 − 109t − 10s

Step-by-step explanation:

Follow PEMDAS and the Distributive Property

Solve the equation.
2(3x – 1) = 5 – (x + 3)

Answers

Answer:

x = 4/7

Step-by-step explanation:

[tex]2\left(3x-1\right)=5-\left(x+3\right)\\\\\mathrm{Expand\:}2\left(3x-1\right):\quad 6x-2\\\\\mathrm{Expand\:}5-\left(x+3\right):\quad -x+2\\6x-2=-x+2\\\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\6x-2+2=-x+2+2\\\\Simplify\\6x=-x+4\\\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\6x+x=-x+4+x\\\\Simplify\\7x=4\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}=\frac{4}{7}\\\\x=\frac{4}{7}[/tex]

Answer:

x = 4/7

Step-by-step explanation:

2(3x – 1) = 5 – (x + 3)

Distribute

6x -2 = 5 -x -3

Combine like terms

6x -2 = 2-x

Add x to each side

6x +x -2 = 2-x+x

7x -2 = 2

Add 2 to each side

7x-2+2 =2+2

7x =4

Divide by 7

7x/7 = 4/7

x = 4/7

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