Absolute Value Transformations

Front

What is the parent function of absolute value transformations?

Back

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

Front

How does the equation y = |x| - 4 transform the graph of the parent function?

Back

The graph shifts down 4 units.

Front

What effect does the equation y = |x| + 3 have on the graph of the parent function?

Back

The graph shifts up 3 units.

Front

What is the general form of an absolute value function that shifts down by 'k' units?

Back

The general form is y = |x| - k.

Front

If the equation is y = |x| - 8, what direction does the graph shift compared to the parent function?

Back

The graph shifts down.

Front

What does the transformation y = |x + 2| represent?

Back

The graph shifts left 2 units.

Front

How does the equation y = |x - 5| transform the graph of the parent function?

Back

The graph shifts right 5 units.

Front

What is the effect of a negative sign in front of the absolute value, such as in y = -|x|?

Back

The graph reflects over the x-axis.

Front

What is the transformation of the equation y = -|x| + 3?

Back

The graph reflects over the x-axis and shifts up 3 units.

Front

How do you write the equation for a graph that shifts down 9 units from the parent function?

Back

The equation is y = |x| - 9.