Graphing Absolute Value Functions

Front

What is the effect of the equation y = |x - 3| on the graph?

Back

The graph slides to the right by 3 units.

Front

What is the effect of the equation y = |x| - 7 on the graph?

Back

The graph slides down by 7 units.

Front

What is the equation of the absolute value function that makes the graph slide to the right by 3 units?

Back

f(x) = 4|x - 3|.

Front

What transformation occurs in the absolute value function f(x) = 1/4 |x - 3|?

Back

The graph is more narrow, reflects over the x-axis, and shifts up 1 unit.

Front

What transformation occurs in the absolute value function f(x) = |x| - 7?

Back

The graph shifts down by 7 units.

Front

What is the parent function of absolute value?

Back

f(x) = |x|.

Front

How does the graph of f(x) = 4|x| compare to the parent function?

Back

The graph is narrower than the parent function.

Front

What does the '4' in f(x) = 4|x| indicate about the graph?

Back

It indicates that the graph is vertically stretched.

Front

What does the negative sign in f(x) = -|x| indicate about the graph?

Back

It indicates that the graph reflects over the x-axis.

Front

What is the transformation of the graph of f(x) = |x + 2|?

Back

The graph shifts to the left by 2 units.