Absolute Value Graphing

Front

What is the equation of the absolute value function?

Back

f(x)= |x| + 4

Front

What is the axis of symmetry for the absolute value graph y = |x| + 4?

Back

x=0

Front

How does the graph of y = |x| + 4 compare to the parent function y = |x|?

Back

It is shifted up 4 units.

Front

What does the equation y = |x - 3| represent in terms of graph movement?

Back

The graph slides right 3 units.

Front

What does the equation y = |x| - 7 represent in terms of graph movement?

Back

The graph slides down 7 units.

Front

What is the effect of a coefficient less than 1 in front of the absolute value function, such as in y = 1/2 |x|?

Back

The graph becomes wider than the parent function.

Front

What is the effect of a coefficient greater than 1 in front of the absolute value function, such as in y = 2 |x|?

Back

The graph becomes narrower than the parent function.

Front

What is the vertex of the graph y = |x - 2| + 1?

Back

(2, 1)

Front

What is the domain of the absolute value function y = |x|?

Back

All real numbers, (-∞, ∞).

Front

What is the range of the absolute value function y = |x|?

Back

y ≥ 0, [0, ∞).