Translations of Absolute Value Graphs

Front

What is the equation of the absolute value graph that shifts down by 4 units?

Back

f(x) = |x| - 4

Front

What does the parameter A represent in the equation y = A|x - C| + D?

Back

A - Vertical Dilation

Front

What does the parameter C represent in the equation y = A|x - C| + D?

Back

C - Horizontal Shift

Front

What does the parameter D represent in the equation y = A|x - C| + D?

Back

D - Vertical Shift

Front

How does the graph of y = |x + 3| transform the parent function y = |x|?

Back

The graph shifts left 3 units.

Front

How does the graph of y = |x - 2| + 4 transform the parent function y = |x|?

Back

The graph shifts right 2 units and up 4 units.

Front

What is the effect of a negative A value in the equation y = A|x - C| + D?

Back

It reflects the graph across the x-axis.

Front

What is the effect of increasing the value of A in the equation y = A|x - C| + D?

Back

It vertically stretches the graph.

Front

What is the effect of decreasing the value of A in the equation y = A|x - C| + D?

Back

It vertically compresses the graph.

Front

What transformation does the equation y = |x| + 5 represent?

Back

The graph shifts up 5 units.