Absolute Value Transformations

Front

What is the parent function of absolute value transformations?

Back

The parent function is f(x) = |x|.

Front

What does the transformation f(x) = |x| - 5 do to the graph of the parent function?

Back

It shifts the graph down 5 units.

Front

What is the vertex of the function y = 2|x - 3| + 1?

Back

The vertex is (3, 1).

Front

Describe the transformation of the equation y = -2|x - 3| + 3 from the parent function y = |x|.

Back

It is reflected over the x-axis, stretched by 2, shifted right 3, and shifted up 3.

Front

Does the function y = |x| - 8 shift the graph up or down from the parent function?

Back

It shifts down.

Front

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

Back

The vertex is (-2, 5).

Front

What effect does a negative sign in front of the absolute value function have?

Back

It reflects the graph over the x-axis.

Front

How does the coefficient in front of the absolute value function affect the graph?

Back

It stretches or shrinks the graph vertically.

Front

What does the transformation f(x) = |x + 4| do to the graph?

Back

It shifts the graph left 4 units.

Front

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

Back

It shifts the graph vertically.