Absolute Value Transformations

Front

What is the parent function of absolute value?

Back

y = |x|

Front

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

Back

Shifts up 3 units.

Front

Write the equation for a graph that shifts down 9 units from the parent function.

Back

y = |x| - 9

Front

What transformation occurs in the equation y = |x - 1| + 5?

Back

Shifts right 1 unit and up 5 units.

Front

Describe the transformation of the equation y = |x + 2| - 4 from the parent function.

Back

Shifts left 2 units and down 4 units.

Front

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

Back

Shifts down.

Front

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

Back

Reflects the graph over the x-axis.

Front

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

Back

Shifts left 3 units.

Front

What is the transformation of the equation y = |x| + 2?

Back

Shifts up 2 units.

Front

If the equation is y = |x - 5|, what transformation occurs?

Back

Shifts right 5 units.