Absolute Value Transformations in full

Front

What is the parent function of absolute value?

Back

y = |x|

Front

How does the graph of y = |x| transform to y = 1/2|x| + 3?

Back

Opens Up, Wider, Shift up

Front

What transformation does f(x) = |x| - 5 apply to the parent function?

Back

Shifts down 5

Front

What does it mean to reflect a graph over the x-axis?

Back

The graph is flipped upside down.

Front

What is the effect of a vertical compression by a factor of 2/5 on the graph of y = |x|?

Back

The graph becomes wider.

Front

How do you write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted right 6?

Back

y = 2/5|x - 6|

Front

What does it mean to shift a graph to the right?

Back

The entire graph moves horizontally to the right.

Front

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

Back

Reflects over the x-axis.

Front

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

Back

Shifts left 4 units and up 2 units.

Front

What is the effect of a vertical stretch on the graph of y = |x|?

Back

The graph becomes narrower.