Absolute Value Transformations Summative Assessment Review

Front

What is the parent function of absolute value?

Back

y = |x|

Front

What does it mean to reflect a function over the x-axis?

Back

The output values (y-values) of the function are multiplied by -1.

Front

How does a vertical stretch affect the graph of a function?

Back

It makes the graph taller by multiplying the output values by a factor greater than 1.

Front

What is the effect of a vertical compression on a function?

Back

It makes the graph shorter by multiplying the output values by a factor between 0 and 1.

Front

What does a horizontal shift to the right by 3 units look like in an absolute value function?

Back

y = |x - 3|

Front

What does a vertical shift up by 4 units look like in an absolute value function?

Back

y = |x| + 4

Front

How do you find the vertex of the function y = a|x - h| + k?

Back

The vertex is at the point (h, k).

Front

What is the domain of the absolute value function?

Back

All real numbers (x ∈ ℝ).

Front

What does the transformation y = -|x| represent?

Back

A reflection of the absolute value function over the x-axis.

Front

How do you write the equation for a vertically stretched absolute value function?

Back

y = a|x| where a > 1.