Parent Functions & Transformations Test

Which parent function matches the graph?

• y = |x|
• y = x
• y = x²
• y = 2^x

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Which equation below is a quadratic function translated up 8 units?

• y = x² + 8

• y = (x + 8)²

• y = 8x²

• y = -x² - 8

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 is a quadratic function reflected over the x-axis and shifted up 12.

• y = x² + 12

• y = -x² + 12

• y = x² - 12

• y = -(x + 12)²

Tell how the graph transformed.

y = (x - 1)²

• Translated right 1

• Translated left 1

• Translated up 1

• Translated down 1

• f(x)=x² + 2

• f(x) = (x-2)² + 1

• f(x)= (x+2)² - 1

• f(x)= (x+2)² + 1

Tags

CCSS.HSF-IF.C.7A

What transformations have occurred?

• Reflected over x-axis and up 4 units

• Reflected over x-axis and down 4 units

• Reflected over x-axis and right 4 units

• Reflected over x-axis and left 4 units

What is the equation to this graph?

• $f(x)=\left|x+2\right|+1$

• $f(x)=\left|x-2\right|+1$
  

• $f(x)=\left|x+2\right|-1$
  

• $f(x)=\left|x-2\right|-1$
  

Tags

CCSS.HSF-IF.C.7D

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

• $y=-\left|x-15\right|-3$

• $y=-\left|x+15\right|-3$

• $y=\frac{1}{2}\left|x+3\right|-15$

• $y=\frac{1}{2}\left|x-3\right|-15$

• $y=\left|-x-15\right|-3$