Quiz about T.2 Identifying Transformations of Parent Functions

Question 1

In the transformation functions, h represents which transformation?

Accepted Answer

Horizontal Shift

Answer

Vertical Shift

Answer

Flip Across the X Axis

Answer

Vertical Stretch

Question 2

Which equation below is a quadratic function translated up 5 units?

Accepted Answer

y = x² + 5

Answer

y = (x + 5)²

Answer

y = 5x2

Answer

y = -x² - 5

Question 3

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

Accepted Answer

y = -x² + 2

Answer

y = x² + 2

Answer

y = x² - 2

Answer

y = -(x + 2)²

Question 4

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 5

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 6

Tell how the function transformed from y =|x|
y = -2|x|

Accepted Answer

Stretched vertically and reflected over x-axis

Answer

Translated left 2 units

Answer

Reflected over x-axis

Answer

Compressed vertically and reflected over the x-axis

Question 7

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 8

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2

Accepted Answer

Vertical Stretch of 5
Up 2

Answer

Vertical Stretch of 5
Down 2

Answer

Vertical Shrink of 5
Up 2

Answer

Vertical Shrink of 5
Down 2

Question 9

Describe the parent graph transformation

Accepted Answer

compression by 1/2, left 1, down 3

Answer

stretch by 1/2, left 1, down 3

Answer

stretch by 1/2, right 1, down 3

Answer

compression by 1/2, right 1, down 3

Question 10

What type of function is shown?

Accepted Answer

square root

Answer

cube root

Answer

logarithm

Answer

exponential

Question 11

What is the equation of the PARENT  function?

Accepted Answer

f(x) = x3

Answer

f(x) = 2x

Answer

f(x) = |x|

Answer

f(x) = x

Question 12

Which transformation on

f(x) = x

is g(x) = -f(x)

Accepted Answer

Reflection across the x-axis.

Answer

Reflection across the y-axis

Answer

The slope will be less steep

Answer

The graph will be wider

Question 13

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Accepted Answer

Vertical translation up by 2 units.

Answer

Translation left 2 units

Answer

Translation right 2 units

Answer

Reflection across the x-axis.

Question 14

If the blue is f(x)=x^2,the red must be

Accepted Answer

g(x)=(x-3)²

Answer

g(x)=(x+3)²

Answer

g(x)=x2+3

Answer

g(x)=x2-2

Question 15

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

Accepted Answer

y = -|x - 2| - 7

Answer

y = -|x + 2| - 7

Answer

y = |x - 2| - 7

Answer

y = -|x - 2| + 7

Question 16

The blue function is the parent function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

Accepted Answer

g(x)=(x-1)³

Answer

g(x)=x3+1

Answer

g(x)=x3-1

Answer

g(x)=(x+1)³

T.2 Identifying Transformations of Parent Functions

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