Absolute value functions and graphs

Front

What is the domain of the absolute value function?

Back

(-infinity, infinity)

Front

What is the value of K in the function f(x) = 4|x + 2| - 3?

Back

-3

Front

Describe the transformation from the Absolute Value Parent Function for f(x) = 4|x + 2| - 3.

Back

Compresses wider, shifts down 4 units

Front

Select the correct set of transformations for f(x) = 1/3 |x + 4| - 2.

Back

Horizontal translation left 4 units, Vertical shrink by a factor of 3 units, Vertical translation down 2 units

Front

Use Narrower, Wider, or Same to compare the width of the graph y = -|x| + 9 to its parent function.

Back

Same

Front

What is the parent function of absolute value functions?

Back

f(x) = |x|

Front

How does the coefficient in front of the absolute value affect the graph?

Back

It vertically stretches or shrinks the graph.

Front

What effect does a negative sign in front of the absolute value function have on the graph?

Back

It reflects the graph across the x-axis.

Front

What is the vertex of the function f(x) = |x - 3| + 2?

Back

(3, 2)

Front

How do you find the x-intercepts of an absolute value function?

Back

Set the function equal to zero and solve for x.