QUIZ: Parent Functions and Transformations

The graph represents the parent for which family of functions?

• Absolute Value

• Quadratic

• Cubic

• Linear

Answer explanation

A quadratic function creates a U-shaped curve called a parabola.

Given the function f(x)=|x+2|, the transformation could be described as...

• Moving 2 to the right of the parent function.

• Moving 2 up from the parent function.

• Moving 2 to the left of the parent function.

• Moving 2 down from the parent function.

Answer explanation

The vertex form of an absolute value equation is

f(x) = a|x-h|+ k where the vertex is (h,k). The vertex of the parent function is at the origin (0,0). The vertex of this function is at (-2,0) or two units to the left of the parent function.

This graph represents the simplest function in which family of functions.

• Absolute Value Functions

• Quadratic Functions

• Cubic Functions

• Linear Functions

Answer explanation

Absolute Value functions look like a V.

Describe how the following function compares to the parent function:

f(x) = |x+2|- 4

• Down 4 / Left 2

• Up 4 / Right 2

• Down 4 / Right 2

• Up 4 / Left 2

Name the parent function. 

• linear
• constant
• absolute value
• quadratic

Name the parent function. 

• constant
• quadratic
• linear
• exponential

Name the parent function.

• quadratic
• cubic
• square root
• logarithmic

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

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

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

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Tell how the function transformed from y =x²
y = -2x²

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis