Absolute Value Functions

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is y = |x|.

Front

Describe the transformation: y = -2|x - 3| + 3

Back

Reflected over the x-axis, stretched by 2, shifted right 3 units, and shifted up 3 units.

Front

What is the vertex of the function y = -4|x + 2| + 5?

Back

The vertex is (-2, 5).

Front

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

Back

It indicates a reflection over the x-axis.

Front

What is the effect of a vertical stretch by a factor of k on the function y = |x|?

Back

The graph becomes narrower and is represented as y = k|x|.

Front

What is the effect of a vertical compression by a factor of k on the function y = |x|?

Back

The graph becomes wider and is represented as y = (1/k)|x|.

Front

What is the transformation of the function y = |x| + 4?

Back

The graph is shifted up 4 units.

Front

What is the transformation of the function y = |x - 2|?

Back

The graph is shifted right 2 units.

Front

What is the equation of the graph that reflects over the x-axis and shifts up 2 units?

Back

The equation is y = -|x| + 2.

Front

What is the vertex of the function y = |x - 1| - 3?

Back

The vertex is (1, -3).