Absolute Value Functions & Transformations Flashcard

Front

What is the domain of the absolute value function?

Back

(-infinity, infinity)

Front

What is the equation of the graph that opens downwards and is shifted down 2 units?

Back

f(x) = -|x| - 2

Front

Describe the transformation from the Absolute Value Parent Function to f(x) = |x| + 4.

Back

Shift up 4 units

Front

What is the equation of the absolute value function that is shifted up 4 units?

Back

f(x) = |x| + 4

Front

What is the vertex of the absolute value function f(x) = |x| + 4?

Back

(0, 4)

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| differ from f(x) = |x|?

Back

f(x) = -|x| is reflected over the x-axis.

Front

What is the effect of adding a constant outside the absolute value function?

Back

It shifts the graph vertically.

Front

What is the effect of adding a constant inside the absolute value function?

Back

It shifts the graph horizontally.

Front

What is the equation of the absolute value function that opens upwards and is shifted left 4 units?

Back

f(x) = |x + 4|