Key Features of Absolute Value Functions

Front

What is the opening direction of an absolute value function when the leading coefficient is positive?

Back

Up

Tags

CCSS.HSF-IF.C.7D

Front

What is the opening direction of an absolute value function when the leading coefficient is negative?

Back

Down

Tags

CCSS.HSF-IF.C.7D

Front

What is the point where the graph of an absolute value function crosses the y-axis called?

Back

y-intercept

Tags

CCSS.HSF-IF.C.7D

Front

What is the vertex of an absolute value function?

Back

The highest or lowest point of the graph, depending on the direction of the opening.

Tags

CCSS.HSF-IF.C.7D

Front

How do you find the y-intercept of an absolute value function?

Back

Set x = 0 and solve for y.

Tags

CCSS.HSF-IF.C.7D

Front

What is the axis of symmetry in an absolute value function?

Back

A vertical line that divides the graph into two mirror images, passing through the vertex.

Tags

CCSS.HSF-IF.C.7D

Front

What is the general form of an absolute value function?

Back

f(x) = a|x - h| + k, where (h, k) is the vertex.

Tags

CCSS.HSF-IF.C.7D

Front

If the vertex of an absolute value function is at (0, -3), what is the y-intercept?

Back

(0, -3)

Tags

CCSS.HSF-IF.C.7D

Front

What does the 'a' in the function f(x) = a|x - h| + k represent?

Back

The vertical stretch or compression and the direction of the opening.

Front

What happens to the graph of an absolute value function if 'a' is greater than 1?

Back

The graph is vertically stretched.