Absolute Value Functions

Front

What is the equation of the absolute value function?

Back

f(x) = |x| + 4

Front

Describe the transformation of the equation y = |x + 2| - 5 from the parent function y = |x|.

Back

Left 2 down 5

Front

Which function is graphed if it has a vertex at (5,0)?

Back

f(x) = |x - 5|

Front

Determine the transformation of the function y = |x - 3| + 2.

Back

Right 3 up 2

Front

Describe the transformation of the equation y = |x| + 10 from the parent function y = |x|.

Back

Shifted up 10

Front

What is the vertex of the function f(x) = |x - 4|?

Back

(4, 0)

Front

What does the absolute value function represent graphically?

Back

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

Front

How does the graph of f(x) = |x| + c differ from the graph of f(x) = |x|?

Back

It shifts the graph up by c units.

Front

What is the effect of a negative coefficient in front of the absolute value function, such as in f(x) = -|x|?

Back

It reflects the graph across the x-axis.

Front

What is the domain of the absolute value function f(x) = |x|?

Back

All real numbers, (-∞, ∞).