Graphical Transformations of Functions

Which of the following is NOT a transformation for the function given?

• Down 3

• Reflection over the x-axis

• Right 3

Tags

CCSS.HSF.BF.B.3

What is the graphical relationship between a function and its inverse?

• Reflection over the x-axis

• Reflection over the y-axis

• Reflection over the origin

Tags

CCSS.HSF-BF.B.4C

• horizontal shift to the right 2 and vertical shift up 4

• horizontal shift to the right 2 and vertical shift down 4

• horizontal shift to the left 2 and vertical shift up 2

• horizontal shift to the left 2 and vertical shift down 2

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)

• f(-x)

• f^-1(x)

• f(2x)

Describe the transformation of the equation below from the parent function of y = IxI

• reflected over x axis, vertical stretch by 2, right 3, up 3

• reflected over x axis, horiz. stretch by 2, left 3 up 3.

• reflected over x axis, vertical shrink by 2, right 3, up 3

• reflected over the x axis, horiz. shrink by 2, left 3, up 3

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a vertical stretch by a factor of 3?

• A

• B

• C

• D

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

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

• y = x² + 5

• y = (x + 5)²

• y = 5x²

• y = -x² - 5

Tags

CCSS.HSF-IF.C.7A

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

• Translated left 2 units

• Reflected over x-axis

• Stretched vertically and reflected over x-axis

• Compressed vertically and reflected over the x-axis