Absolute Value Functions

Front

What is the definition of an absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero on the number line, denoted as f(x) = |x|.

Tags

CCSS.HSF-IF.C.7D

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is f(x) = |x|.

Front

How does the graph of f(x) = |x| look?

Back

The graph of f(x) = |x| is a V-shaped graph that opens upwards with its vertex at the origin (0,0).

Tags

CCSS.HSF-IF.C.7D

Front

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

Back

A vertical stretch makes the graph narrower, increasing the steepness of the V shape.

Front

What does a horizontal shift to the right mean for the function f(x) = |x - h|?

Back

A horizontal shift to the right means the graph moves h units to the right, changing the vertex to (h,0).

Front

What does a vertical shift up mean for the function f(x) = |x| + k?

Back

A vertical shift up means the graph moves k units up, changing the vertex to (0,k).

Front

How do you write an absolute value function with a vertical stretch of 2?

Back

You write it as f(x) = 2|x|.

Front

What is the transformation of the function f(x) = |x + 3| - 4?

Back

The transformation includes a left shift of 3 units and a downward shift of 4 units.

Front

What does the negative sign in front of an absolute value function indicate?

Back

The negative sign indicates a reflection over the x-axis.

Tags

CCSS.HSF-IF.C.7D

Front

How do you determine the vertex of the function f(x) = |x - 2| + 3?

Back

The vertex is at the point (2, 3).

Tags

CCSS.HSF-IF.C.7D