Absolute Value Functions Review

Front

What is the range of the absolute value function?

Back

[0, infinity)

Front

What is the domain of the absolute value function?

Back

(-infinity, infinity)

Front

What is the equation of the absolute value function?

Back

f(x)= 4|x - 3|

Front

Describe the transformation of the equation y = -2|x - 3| + 3 from the parent function y = |x|.

Back

Reflected across x-axis, vertical stretch by 2, right 3, up 3.

Front

Write an absolute value function given the following transformations: Reflection across the x-axis, Vertical shift 2 units right, Horizontal shift 7 units down.

Back

y = -|x - 2| - 7

Front

What is the parent function of absolute value?

Back

y = |x|

Front

How does the graph of y = |x| differ from y = -|x|?

Back

y = |x| opens upwards, while y = -|x| opens downwards.

Front

What effect does a vertical stretch have on the graph of an absolute value function?

Back

It makes the graph narrower.

Front

What effect does a vertical compression have on the graph of an absolute value function?

Back

It makes the graph wider.

Front

What does the absolute value of a number represent?

Back

The distance of that number from zero on the number line.