Transformations of Polynomials & Inverse Quiz

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

How did we transform from y=x² to
y = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Match the equation to its description.

• Reflected over x and up 4
• Reflected over x and down 4
• Reflected over x and right 4 
• Reflected over x and left 4

 $f\left(x\right)=7x\ -\ 5$  

What is the inverse of the function

•  $f^{-1}\left(x\right)=\frac{x+5}{7}$  

•  $f^{-1}\left(x\right)=\frac{x-5}{7}$  

•  $f^{-1}\left(x\right)=5x+7$  

•  $f^{-1}\left(x\right)=\frac{x+7}{5}$  

Tags

CCSS.HSF-BF.B.4A

Describe the transformation:

 $f\left(x+2\right)$  

• Up 2

• Down 2

• Right 2

• Left 2

Tags

CCSS.HSF.BF.B.3

Describe the transformation:

 $-f\left(x\right)$  

• Reflection across the x-axis

• Reflection across the y-axis

• Down 1

• Left 1

Tags

CCSS.HSF.BF.B.3

Describe the transformation:

 $f\left(x\right)=3\left|x-2\right|+5$  

• Vertical stretch by 3, Left 2, Up 5

• Vertical stretch by 3, Right 2, Up 5

• Vertical compression by 3, Right 2, Up 5

• Vertical stretch by 3, Down 2, Right 5

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

Tags

CCSS.HSF-BF.B.4B