Absolute Value Transformations

Front

What is the parent function of absolute value transformations?

Back

y = |x|

Front

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

Back

Shifts the graph up 3 units.

Front

What is the vertex of the function y = |x|?

Back

(0, 0)

Front

What transformation does the equation y = -|x| represent?

Back

Reflection across the x-axis.

Front

How does the equation y = |x - 2| transform the parent function?

Back

Shifts the graph right 2 units.

Front

What is the effect of the transformation in y = |x + 5|?

Back

Shifts the graph left 5 units.

Front

What is the vertex of the function y = -3|x| + 4?

Back

(0, 4)

Front

How does the equation y = |x| - 7 transform the parent function?

Back

Shifts the graph down 7 units.

Front

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

Back

(-1, -3)

Front

What transformation does the equation y = -|x - 4| + 2 represent?

Back

Reflection across the x-axis and shifts up 2 units.