Describe the transformation from the graph of f(x) =ax^2 to the graph of g(x) = a(x-h)^2+k

Answers

Answer 1

Answer: Step-by-step explanation:

f(x)=ax^2→g(x)=a(x-h)^2+k

The horizontal shift depends on the value of h. The horizontal shift is described as:  

g(x)=f(x+h) - The graph is shifted to the left h units.

g(x)=f(x−h) - The graph is shifted to the right h units.

Hence, in the question above, Horizontal Shift: Right h Units

The vertical shift depends on the value of k. The vertical shift is described as:

g(x)=f(x)+k - The graph is shifted up k units.

g(x)=f(x)−k - The graph is shifted down k units.

Therefore, in the question above, Vertical Shift: Up k Units

 

Answer 2

The description of the transformation from the graph with respect to the given graph should be explained below.

Description of the transformation:

Since

[tex]f(x)=ax^2[/tex]

And, [tex]g(x)=a(x-h)^2+k[/tex]

Now here horizontal shift based on the value of h. The horizontal shift should be like

g(x)=f(x+h) - The graph should be shifted to the left h units.

And,

g(x)=f(x−h) - The graph should be shifted to the right h units.

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Related Questions

24.8x45.67 plz help will mark Brainliest

Answers

Answer:   1132.616

lol-

I NEED HELP ILL GIVE TONS OF POUNTS find the mean of the data in the pictograph below​

Answers

Answer:

4 home runs

Step-by-step explanation:

Ok is 3 plus 3 is 6 doesnt that mean 6 plus 6 is 12 ?

Answers

Answer:

yes

Step-by-step explanation:

3+3=6

6+6=12

so yes, that statement is correct

Answer: yes this statement is completely correct.

Step-by-step explanation:

YALL PLEASE HELP IS IT ADDITION MULTIPLICATION OR SUB

Answers

Answer:

6 x [tex]\frac{3}{4}[/tex]= 4[tex]\frac{2}{4}[/tex]

Step-by-step explanation:

Answer:

multiplication

Step-by-step explanation:

HOPE THIS HELPS

How to write an equation in point -slope form for each line

Answers

point slope form is

y-y1=m(x-x1)

what this means is you’d insert a point in place of y1 and x1, and m being the slope

let’s say the point is (1,2) the equation would become

y-2=m(x-1)

please help!!!I don’t know how to solve

Answers

Step-by-step explanation:

formula for the first question:

a^2+b^2=c^2

8^2+6^2= 100

√100 = 10cm

10 cm :))) extra letters islam men’s

A quadratic equation has an acis of symetry x=-1. If one point ia located at 6,2 what is the other point on the quadratic equation

Answers

Answer:

The other point is (-8, 2)

Step-by-step explanation:

A general quadratic equation is something like:

f(x) = a*x^2 + b*x + c

Where a, b, and c are real numbers.

If the function has an axis of symmetry at x₀, this means that:

f(x₀ + x) = f(x₀ - x)

for all values of x.

In this case we have:

x₀ = -1

Then:

f(-1 + x) = f(-1 - x)

Now we know that the point (6, 2) is a solution of the quadratic equation

This means that f(6) = 2

If we write 6 = -1 + x

We can solve this for x to get:

6 = -1 + x

6 + 1 = x = 7

Then we will have:

2 = f(6) = f(-1 + 7) = f(-1 - 7) = f(-8)

Then:

f(-8) = 2

sThis means that the other point on the quadratic eqation is (-8, 2)

the courthouse is the tallest building in the city. if it is 7 1/2 inches tall in the model, how tall is the actual building?

the scale of the model is 1 inch = 9 feet

Answers

Answer:67.6

Step-by-step explanation:

Jake is the starting quarterback on his school's football team. He has completed 37 of his 63 passes this season. Which of the
following values is closest to his percentage of pass completions this season?

Answers

Answer:

59%

Step-by-step explanation:

37 over 60 besides a 1 over 100

37        1

     =

63       100

cross multiply

37(100)=63(1)

3700=63

3700 divided by 63 = 58.7301..... which you can round up to 59%

a spinner has 8 sections 2 purple 2 yellow 3 blue and 1 red what is the probability of spinning and landing on a blue or purple section

Answers

Answer:

5/8 is the probability.

Step-by-step explanation:

1 point
What is the value of x? Round to the nearest tenths place
15 ft
13 ft
х

Answers

Answer:

7.5

Step-by-step explanation:

The values 15ft, 13ft and x are the sides of a right triangle;

According to pythagoras theorem;

15² = 13²+x²

x² = 15² - 13²

x² = 225 -169

x² = 56

x = √56

x = 7.48

Hence the value of x to the nearest tenth is 7.5 to the nearest tenth

In parallelogram ABCD, angle B is 75. Find the measure of angle D

Answers

Answer:

answer: 75

Hope that helps you!

Solve the equation 5y + 7x = -2 for y. оу — --- 7 X y=-10 – 35x o y = 35x – 10 y=​

Answers

Answer:

y = [tex]-\frac{7}{5} x - \frac{2}{5}[/tex]

Step-by-step explanation:

5y + 7x = -2

5y = -7x - 2

y = -(7x)/5 - 2/5 = [tex]-\frac{7}{5} x - \frac{2}{5}[/tex]

Kyle has a storage box in the shape of a rectangular prism. The box has a square base with sides that are three feet long. The height of the storage box is 6 feet. What is the volume of Kyle's storage box?

Answers

Answer: [tex]54\ ft^3[/tex]

Step-by-step explanation:

Given

The base side of the box is 3 ft long

The height of the box is 6 ft

For the square base, length and width is the same

Volume of rectangular prism is  [tex]V=l\times w\times h[/tex]

Putting the values

[tex]\Rightarrow V=3\times 3\times 6\\\Rightarrow V=54\ ft^3[/tex]

The volume of the box is [tex]54\ ft^3[/tex]

The CSU Tropical Meteorology Project team predicts 17 named storms during the Atlantic hurricane season. Of those, researchers expect eight to become hurricanes and four to reach major hurricane strength (Saffir/Simpson category 3-4-5) with sustained winds of 111 miles per hour or more.
What is the predicted probability that out of the 17 named storms will actually produce hurricanes? _________

Answers

Answer:

the answer is 1 5/12

Determine the slope from the given graph below:

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

Answer:

y=(10×10)÷(1-2) =N

Step-by-step explanation:

y -is the numerical angle of triangle

10×10because the triangle have a ten angle

1-2 cause the line of triangle

Find all the missing elements.
Round to the nearest tenth.
a = 5
b = 2
C = 6
A= [?]°
B = [ ]
C = [ ]

Answers

Answer: A= 51.3 B= 18.2 C=110.5

Step-by-step explanation:

The missing elements in the triangle are A ≈ 3.992°, B ≈ 170.008°, and c ≈ 5.4 units

To find the missing angle 'A', we can use the law of cosines, which states that for any triangle with sides 'a', 'b', and 'c' and opposite angles 'A', 'B', and 'C', the following relationship holds:

c² = a² + b² - 2ab * cos(C)

Plugging in the known values, we get:

c² = 5² + 2² - 2 * 5 * 2 * cos(6)

Now, we can solve for 'c':

c² = 29 - 20 * cos(6)

c² ≈ 28.8178

c ≈ √28.8178

c ≈ 5.4 (rounded to the nearest tenth)

Now that we have the value of side 'c', we can find angle 'A' using the law of sines, which states that for any triangle:

sin(A) / a = sin(C) / c

Plugging in the known values:

sin(A) / 5 = sin(6) / 5.4

Now, solve for 'sin(A)':

sin(A) = 5 * sin(6) / 5.4 sin(A) ≈ 0.0698

Now, find the value of angle 'A' using the inverse sine (sin⁻¹) function:

A ≈ sin⁻¹(0.0698)

A ≈ 3.992° (rounded to the nearest tenth)

Finally, to find angle 'B', we can use the fact that the sum of angles in any triangle is 180 degrees:

B = 180 - A - C

B = 180 - 3.992 - 6

B ≈ 170.008° (rounded to the nearest tenth)

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Write an equation based off this trigonometric graph.

Answers

Answer(s):

[tex]\displaystyle y = 4cos\:(2x - \frac{\pi}{2}) - 1 \\ y = 4sin\:2x - 1[/tex]

Explanation:

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4cos\:2x - 1,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex] to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex] which means the C-term will be positive, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex] So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(2x - \frac{\pi}{2}) - 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-\frac{\pi}{4}, -5],[/tex] from there to [tex]\displaystyle [\frac{3}{4}\pi, -5],[/tex] they are obviously [tex]\displaystyle \pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

What is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)? A. y=1/2x+4 B y=-1/2x+6 C y=-1/2x+4 D y=-1/2x+8 ​

Answers

Answer:

y = -1/2x + 8

Step-by-step explanation:

y = -1/2x + b

6 = -1/2(4) + b

6 = -2 + b

8 = b

Please help will give brainlist

Answers

Answer:

It would be option 2.

Step-by-step explanation:

This is because option 1 does not have a irrational number that goes on indefinitely, option three has the square root of 25, which equals 5 meaning it is rational, and the last option also gives us rational choices. Therefore, the only possibility is that it would be option 2.

I hope you got it right

are these two answers correct?

(angle sums triangles)

Answers

Answer:

the answer for the first is 22°

the answer for the second is 83°

Answer:

x = 22°x = 83°

Step-by-step explanation:

1.

The sum of all the interior angles of a triangle is equal to 180°. So, 90°+29°+(39°+x) = 180°.

2.

For the triangle on the right, the measure of 1 angle is not given. To find that out, make use of the angle in 112°: 180°-112° = 68°.

Then, we are able to find x by angle sum of triangles.

68°+29°+x = 180°.

The lengths of three sides of a triangle are given. Classify each triangle as acute, right, or obtuse. 16, 12, 6

Answers

Answer:

right triangle

Step-by-step explanation:

hope that helps!

The circles centered at points A, C, and D have radii of length AC.

(will give Brainliest) - 90 points

Answers

Answer:

statement two is CG=AD statement 4 is ADE = CGF

Step-by-step explanation:

I got it right on khan

statement 2 is option 2, statement 4 is option 1

Cg=AD,    CGF

Congruent triangles are exact same triangles, but they might be placed at different positions. The correct option is ΔADC≅ΔECD.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes the length of line segment AB, and so on for others).

For the given proof, the third blank space can be filled with ΔADC≅ΔECD. This is because the two triangles have the same sides as shown below,

AD ≅ ED

AC ≅ EC

CD ≅ DC (Given)

Hence, the correct option is ΔADC≅ΔECD.

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Help please help me please help I really need help

Answers

B, it's the most logical; 6% as a decimal is (.06 and that's what B has)

Answer:

C

Step-by-step explanation:

If the population of wolves is increasing, then the function will represent exponential growth. So the number inside the parentheses must be greater than 1. That narrows it down to the last 2. But it's exponential growth, so it includes an exponent. D doesn't have an exponent, so you're left with C :)

9 books are to be bought by a student. Some cost $6 and the remainder cost $3 each. if the total amount spent was $39, how many of each are bought?
Please explain your answer.

Answers

Answer:

four nine dollar books

Step-by-step explanation:

36 divivded by 9

(No links or urls please) Write an equation of a circle that passes through the following points- see image

Answers

Step-by-step explanation:

Step-by-step explanation:

The general equation for a circle is

[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

where (h, k) is the coordinates of the center of the circle and r is the radius. Since the circle passes through (4, 4) and (-4, -4), its center is located at the origin, which means its equation becomes

[tex] {x}^{2} + {y}^{2} = {( \sqrt{ {4}^{2} + {4}^{2} } )}^{2} = 32[/tex]

can someone help please and thank you

Answers

Answer:

1.125

Step-by-step explanation:

d=1.125

d/0.25=4.5
•0.25 •0.25
d= 1.125

Matthew worked 40 hours every

week for 8 weeks in a row, earning

a total of $2,880 over the 8-week

period. In this scenario, what is the

constant of proportionality?

A 5

B 9

C 72

D 320

Answers

Answer:

BBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

2,880÷8=360÷40=9

PLS HELP ILL MARK BRAINLIST

Answers

For this subject you need visualize that the shape with an extra shape attached is cut off and so multiply the numbers to find the area for the compound shapes I think and the. You add them all up so you need to add the initial symbols such as cm or sq whatever’s you need to insert if this is wrong search on the web

There are 3 types of bills, 4 quarters, and 5 dimes in Mrs. Short's wallet. The contains twice as many 1 bills as 5 dallor bills. The number of 20 dallors multiplied by 2 is 7 more than the total number of 1 dallor and 5 dallor combined. How mnay of each type of bill is in Mrs. Short's wallet if it contains a total of 182.50 dallors

Answers

Step-by-step explanation:

$182.50-$1.50=$181.00. Answer??

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