Quiz about Pre-Calculus Functions Shifting Quiz 2/27

Question 1

Describe the transformation from dotted to solid.

Accepted Answer

f(x + 5) + 3

Answer

f(x +3) + 5

Answer

f(x - 5) + 3

Answer

f(x - 3) + 5

Question 2

What are the transformations?
y=(x-2)³+4

Accepted Answer

Horz shift right 2      Vert shift up 4

Answer

Horz shift left 2    Vert shift up 4

Answer

Horz shift right 2      Vert shift down 4

Answer

Horz shift left 2      Vert shift up 4

Question 3

What is the equation of this graph?

Accepted Answer

f(x) = |x + 2| - 3

Answer

f(x) = (x + 2)² - 3

Answer

f(x) = (x - 2)² - 3

Answer

f(x) = |x - 2| - 3

Question 4

Which parent function is this?

Accepted Answer

Reciprocal

Answer

Exponential

Answer

Logarithmic

Answer

Quadratic

Question 5

What is the equation of this graph?

Accepted Answer

f(x) = -(x - 1)² + 3

Answer

f(x) = -(x + 1)² + 3

Answer

f(x) = -(x + 1)² - 3

Answer

f(x) = -(x + 1)² - 3

Question 6

What is the equation of this graph?

Accepted Answer

f(x) = |x - 2| - 2

Answer

f(x) = (x + 2)² - 2

Answer

f(x) = (x - 2)² - 2

Answer

f(x) = |x + 2| - 2

Question 7

Which parent function matches the graph?

Accepted Answer

f(x) = 2x

Answer

f(x) = x

Answer

f(x)= x2

Answer

f(x) = |x|

Question 8

What type of function is shown?

Accepted Answer

Square root

Answer

Cube root

Answer

Quadratic

Answer

Exponential

Question 9

Describe the transformation to graph the following equation from it's parent function:
f(x) = 2^{(x + 3)} - 4

Accepted Answer

Shift left 3, down 4

Answer

Shift right 3 down 4

Answer

Shift left 4, up 3

Answer

Shift right 4, up 3

Question 10

Describe the transformation

Accepted Answer

right 2 up 5

Answer

left 2 up 5

Answer

left 2 down 5

Answer

right 2 down 5

Question 11

Which equation is an absolute value graph shifted right 5 units?

Accepted Answer

y = |x - 5|

Answer

y = |x + 5|

Answer

y = |x| + 5

Answer

y = -5|x|

Question 12

Question 12.

Accepted Answer

y = -Ix + 2I - 1

Answer

y = Ix + 2I - 1

Answer

y = -Ix - 2I - 1

Answer

y = -Ix + 1I - 2

Question 13

Describe the transformation from the parent graph

Accepted Answer

Reflect over x, right 3, down 4

Answer

Reflect over y, right 3, down 4

Answer

Reflect over x, right 3, up 4

Answer

Reflect over y, left 3, down 4

Question 14

Match the equation with the graph:

Accepted Answer

y = -(x - 2)² + 4

Answer

y = (x - 2)² + 4

Answer

y = -(x - 4)² + 2

Answer

y = -(x + 2)² + 4

Question 15

What are the transformations to the graph compared to the parent function?

Accepted Answer

Shifted right 2, shifted up 3, and reflected over the x-axis

Answer

Shifted right 2, shifted up 3, and reflected over the y-axis

Answer

Shifted left 2, shifted up 3, and reflected over the y-axis

Answer

Shifted left 2, shifted up 3, and reflected over the x-axis

Question 16

Which of the following is the correct equation for the given graph?

Accepted Answer

f(x) = -3(x - 2)² - 4

Answer

f(x) = -(x + 2)² - 4

Answer

f(x) = -(x - 2)² - 4

Answer

f(x) = -3(x + 2)² - 4

Question 17

What are the transformations of this functions compared to the parent function?

Accepted Answer

Shifted left 2

Answer

Shifted down 2

Answer

Shifted up 2

Answer

Shifted right 2

Question 18

What transformations has the function undergone?

Accepted Answer

reflect over x, vertical stretch by 2, right 5, up 1

Answer

reflect over y, vertical compress by 2, right 5, up 1

Answer

reflect over x, horizontal compression by 2, left 5, up 1

Answer

reflect over y, horizontal stretch by -2, right 5, up 1

Question 19

Identify the transformations to the step function:

Accepted Answer

x-axis reflection; stretch of 2; right 2; down 2

Answer

x-axis reflection; stretch of 2; left 2; down 2

Answer

x-axis reflection; shrink of 2; left 2; up 2

Answer

shrink of -2; right 2; down 2

Question 20

What is the equation of this graph?

Accepted Answer

f(x) = -(x - 1)² + 3

Answer

f(x) = -(x + 1)² + 3

Answer

f(x) = -(x + 1)² - 3

Answer

f(x) = -(x + 1)² - 3

Question 21

Question 21.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 22

What is the horizontal asymptote?

Accepted Answer

y = 7

Answer

x = 2

Answer

x = 7

Answer

y = 2

Question 23

What is the vertical asymptote?

Accepted Answer

x= -2

Answer

x= 2

Answer

x= 0

Answer

x= 1

Question 24

What is the vertical asymptote?

Accepted Answer

x = 2

Answer

x = 7

Answer

x = -2

Answer

x = 5

Question 25

what is the equation that best matches the graph?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Pre-Calculus Functions Shifting Quiz 2/27

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