The function f (x) = 2* and g(x) = f(x) + k. if k = 2, what can be concluded about the graph of
g(x)?
the graph of g(x) is shifted vertically
Select a Value
the graph of g(x) is shifted horizontally
Select a Value

Answers

Answer 1

Answer:

g(x) shifted vertically by 2, no horizontal shift

Step-by-step explanation:

Any addition outside the function creates a vertical shift of the same value. Addition within the function moves the graph in the horizontal direction but opposite.


Related Questions

Find the 5th term in the expansion of (a + b)º in simplest form.

Answers

Answer:

[tex]5^{th} term = 126a^5b^4[/tex]

Step-by-step explanation:

[tex]\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i\\\\(a + b)^9 =\sum _{i=0}^9\binom{9}{i}a^{\left(9-i\right)}b^i\\\\[/tex]

       [tex]=a^9 + 9a^8b + 36a^7b^2 + 84a^6 b^3 + 126a^5b^4+ 126a^4b^5+84a^3b^6+ 36a^2b^7+ 9ab^8+b^9[/tex]

[tex]5^{th} term = 126a^5b^4[/tex]

please answer!!

Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and yintercept at (0, -1)?

A. y= 4x+1
B. y= 1x-1
C. y=-x-1
D. y= 4x-1

Answers

Hi there!

[tex]\large\boxed{\text{ B. } y = 1x - 1}[/tex]

Recall that the equation of a line is:

y = mx + b, where:

m = slope

b = y-value of the y-intercept.

We are given that the slope is 1 and the y-intercept is -1, so:

m = 1

b = -1

The correct equation is B. y = 1x - 1

What is the slope, m, and the y-intercept of the line that is graphed below?

Answers

Answer:

m=1 (0,3)

Step-by-step explanation:

m=1

slope is 1 because from left to right the line goes up and you move one 1and one to the left so m=1/1 =1

y-intercept is at (0,3) because is where the line intersects the y-axis

The list shows the scores posted by a professional golfer for his last ten rounds of golf. , Scores for 18 Holes of Golf 67 68 69 69 69 71 71 72 73 75 Question What is the median of the data set? ( NEED HELP ASAP)

Answers

Answer:

The correct answer is 70

Step-by-step explanation:

what is the question of 1.892 x 10^8 and 4.3 x 10^3 expressed in a scientific notation
____ x 10^—
PLS ANSWER ASAP

Answers

What are you asking ?

PLEASE HELPPP

identify the solution to the system of equations

Answers

Answer:

x= y=2

Because that's why the lines intercepts

One-third of the total number of marbles in a jar are red and blue. There are 18 red marbles and 16 blue marbles. How many marbles are in the jar?

Answers

Answer:

There are 102 marbles in the jar

Step-by-step explanation:

16+18 = 34

34 = 1/3

3×34 = total marbles

3×34 = 102

What is the height of the flagpole?​

Answers

60ft is the answer have a nice day

Use long division to find the quotient below.
(2x3 + x2 + 25) /(2x+5)

Answers

Answer:

x^2               -2x              +5

Step-by-step explanation:

x^2               -2x              +5

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

2x + 5  /    2x^3      +     x^2       +    0x         + 25

              -(2x^3      +   5x^2)

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

                                   -4x^2       +    0x        

                                 -( -4x^2      -    10x )

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

                                                          10x           + 25

                                                        -(10x            + 25)

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

                                                                                  0

The desired quotient is x^2               -2x              +5

             

A team from the high school went on a science-and-math quiz show. The science questions were worth 10 points and the math questions were worth 3 points. The team answered a total of 10 questions and earned 65 points. How many questions did the team answer in each category?

Answers

Answer:

The answered 5 math questions, and 5 science questions.

5 * 3 = 15

5 * 10 = 50

15 + 50 = 65

Step-by-step explanation:

square root of 7396 by division method​

Answers

Answer:

the square root of 7396 by long division method is 86

Help. I don't understand..

Answers

Answer:

3

Step-by-step explanation:

Answer:

75.4

Step-by-step explanation:

All angles in a triangle should equal 180, so the lil dash on K's side means angle K is the same as J

so 52.3+52.3=104.6

and 180-104.6 is 75.4

hope i helped and feel free to ask questions

A bag contains 25 red cubes, 15 green cubes, 12 blue cubes, and 8 yellow cubes. The cube is picked at random from the bag. Find each probability as a fraction is lowest terms

Answers

Answer:

25/70=red cubes

15/70=green cubes

12/70=blue cubes

8/70=yellow cubes

Step-by-step explanation:

you have to add up all the cubes together and get 70 so you have to see the possibility of getting each cube from the bag.

sorry if you get this wrong

Answer:

Step-by-step explanation: Alright so first add up how many cubes there are in total - 25 + 15 + 12+ 8 = 60. Then, each color cube is its number out of 60. So, for example, for 25 red cubes, it would be 25/60 as a fraction and that’s the probability as a fraction for the red cubes. So:

red = 25/60

green = 15/60

blue = 12/60

yellow = 8/60

then simply the fractions.

25/60 —> 5/12

15/60 —> 1/4

12/60 —> 1/5

8/60 —> 2/15

I hope that helped!

Ms Hart had 40 dollars to spend on costume boxes for the musical. If she bought 12 boxes and received 4 dollars in change, how much was each box?

Answers

Answer:each box cost =$3

Step-by-step explanation:

Amount of money Ms Hart has to spent on costume boxes=$40

Amount gotten as change after purchase=$4

Amount actually used up buying costume boxes =$40-$4=36

Since she bought 12 boxes , each box cost =$36/ 12=$3

Solve the linear systems using the substitution method. 2x-3y=-1 x=y+1

Please explain the steps too. Thank you. :)

Answers

Answer:

x =1 and y=-1

Step-by-step explanation:

2x - 3y=-1

x-y=1

there for  ok there is a lot of steps i had to do so ill take a pic of it

and the big one is the first one

An n-sided polygon has one interior angle of 90°. The other interior angles are all equal.
If the size of one of the equal angles is 150°, calculate the value of n.

Answers

n = 10

For a regular polygon:
Each exterior angle = 360 / n
Each interior angle = 180 - 360/n
So sum of interior angles = n(180 - 360/n) = 180n - 360

For your polygon the sum of the interior angles = 90 + 150(n - 1) = 90 + 150n - 150 = 150n - 60

So 180n - 360 = 150n - 60
180n - 150n = -60 + 360
30n = 300
n = 10

product of the polynomial (2y+3)(3y^2+4y+5)
A.15y3 + 17y2 + 22y + 15
B.6y3 + 17y2 + 22y + 15
C.6y3 + 20y2 + 22y + 15
D.6y3 + 17y2 + 22y + 25

Answers

the answer is 6y^3+17y^2+22y+15

PLS HELP THIS IS URGET ILL GIVE 100 POINTS
BOTH OR ONE QUESTION ANSWER WILL DO

Answers

Area of triangle 1/2 xbxh
Box 2

A researcher reports an F-ratio with df between = 3 and df within = 40 from an independent-measures ANOVA. How many treatment conditions were compared in the experiment?

Answers

There were 4 treatment conditions compared in the experiment.

When using independent-measures ANOVA (Analysis of Variance), the F-ratio is determined by contrasting the variability within and between treatment conditions.

The ratio of these two variances is known as the F-ratio.

Degrees of freedom (df) within a treatment condition are denoted as df within, and df between denotes the df between treatment conditions.

The formula for calculating the F-ratio is:

F = (Variance between groups) / (Variance within groups)

Given that the df between = 3 and df within = 40, we can use this information to find the number of treatment conditions (groups) compared in the experiment.

The number of treatment conditions (groups) can be calculated using the formula:

Number of groups = df between + 1

Therefore, in this case:

Number of groups = 3 + 1 = 4

So, there were 4 treatment conditions compared in the experiment.

Learn more about ANOVA click;

https://brainly.com/question/30763604

#SPJ12

If 4x−9y=−1 is a true equation, what would be the value of 6+4x−9y?

Answers

Answer:

5

Step-by-step explanation:

4x-9y= -1

so change 4x-9y to 1 in

6+(-1) = 5

Answer:

4x-9y=-1

4x=-1+9y

Step-by-step explanation:

6+4x-9y

6+(-1+9y)-9y

6-1+9y-9y

5+0

5

factorise completely

a). 3xy - 9x

b). x² - 4

c). 2x² + 5y + 1​

Answers

Answer:

a) 3x(y-3)

b) (x-2)(X+2)

Step-by-step explanation:

See the steps below:) You can also use the app photo math, you take a picture and it will give you the answer and explain the steps:)

simplify 5t + 8t - 12t (with explaining the steps)​

Answers

Answer:

Hello There!!

Step-by-step explanation:

Combine like terms:

•5t+8t-12t

•5t+8t=13t

•13t-12t=1t

•1t=t

hope this helps,have a great day!!

~Pinky~

Answer:

T

Step-by-step explanation:

See the steps below:)

what is the vertex to the graph below

Answers

Answer:

[tex]y = 4 {ax}^{2} \\ by \: comparison \: with \: y = 1.5 {x}^{2} \\ 4a = 1.5 \\ a = \frac{1.5}{4} \\ a = \frac{3}{8} \\ vertex = \frac{3}{8} \: \: o r\: \: 0.375[/tex]

Answer:

(0,0)

Step-by-step explanation:

The vertex of the parabola is the minimum ( or maximum) point

Since this is an open upwards parabola, it is the minimum point

The minimum is (0,0) so that is the vertex

which set of anges can form a triangle

Answers

So, any set of three angles that add up to 180 degrees can form a triangle

Answer:

I didn't understand this but I can give you this info

Sum of all angles in a triangle = 180°

Can someone please help me?

Answers

Line m is y because that’s the best one I think that you could choose from j pretty sure the Athenian best one

F=110+0.12dF=110+0.12dF, equals, 110, plus, 0, point, 12, d What is the increase in price for every 100100100 meters climbed? \$

Answers

Answer:

$12

Step-by-step explanation:

At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter. F(d), models the fee (in dollars) for climbing d meters. F(d)=110+0.12d, What is the increase in price for every 100 meters climbed?

Given:

F(d) = 110 + 0.12d

Where,

F(d) = the fee (in dollars)

d = number of meters climbed

What is the increase in price for every 100 meters climbed?

F(d) = 110 + 0.12d

$110 is the fixed fee

0.12 is the increase in price per meter.

Increase in price per 100 meters climbed = 0.12d

= 0.12 × 100

= 12

Increase in price per 100 meters climbed = $12

Answer the picture fast and correct

Answers

Answer:

8.75

Step-by-step explanation:

( 4×8) +3 = 35/4= 8.75

Answer:

8.75

Step-by-step explanation:

I think sorry that's only i know

Emily is buying new cold-weather gear for her family. She pays $100 for 5 pairs of waterproof gloves that each cost the same amount. Four of the pairs of gloves are mittens. Which expression represents the total cost of the 4 pairs of mittens?​

Answers

5÷100=x

x=20

100-20=80

80= the total cost of the 4 pairs of mittens

5x=100
X=20
4x=80
This should be the expression

5x - 7 = 2x + 11

x = ?

Answers

Answer:

6

Step-by-step explanation:

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-7 + 5x + -2x = 11 + 2x + -2x

Combine like terms: 5x + -2x = 3x

-7 + 3x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0

-7 + 3x = 11 + 0

-7 + 3x = 11

Add '7' to each side of the equation.

-7 + 7 + 3x = 11 + 7

Combine like terms: -7 + 7 = 0

0 + 3x = 11 + 7

3x = 11 + 7

Combine like terms: 11 + 7 = 18

3x = 18

Divide each side by '3'.

x = 6

Simplifying

x = 6

Answer:

x=6

Step-by-step explanation:

Solve 5x−7=2x+11.

Subtract 2x from both sides.

5x−7−2x=2x+11−2x

3x−7=11

Add 7 to both sides.

3x−7+7=11+7

3x=18

Divide both sides by 3.

[tex]\frac{3x}{3} =\frac{18}{3}[/tex]

x=6

Answer:

x=6

Write The equation or the line in slope intercept form​

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

slope intercept form - y = mx + b

where m = slope and b = y intercept

step 1 identify the slope

slope = change in y over change in x.

Looking at the graphed line, as y goes up 6 x goes down 2

Hence, slope (m) = 6 / - 2 or -3

Step 2: identify the y intercept ( b )

b = The y value of the coordinate where the line passes the y axis.

The line passes the y axis at point ( 0 , 5 )

The y value of that coordinate is 5

Therefore b = 5

Step 3 add everything together

y = mx + b

* replace m with -3 and b with 5 *

the equation of the line in slope intercept form is y = -3x + 5

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