Absolute Value Graphs

Front

What is the equation of the absolute value function?

Back

f(x) = |x| + 4

Front

Which of the following graphs would match the equation y = -|x| - 3?

Back

The graph opens downwards and is shifted down 3 units.

Front

Evaluate the expression: |–5| + 8

Back

13

Front

Identify the equation of the graph: y = |x-3|-2

Back

This represents a V-shaped graph shifted right 3 units and down 2 units.

Front

Evaluate the expression: 3|-3| + |-3 + 5|

Back

11

Front

What does the absolute value of a number represent?

Back

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

Front

How does the graph of y = |x| differ from y = -|x|?

Back

y = |x| opens upwards, while y = -|x| opens downwards.

Front

What is the vertex of the graph y = |x| + 4?

Back

The vertex is at the point (0, 4).

Front

If f(x) = |x - 2|, what is f(2)?

Back

f(2) = 0.

Front

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

Back

It shifts the graph vertically.