Horizontal Transformations in Functions

Front

What controls the horizontal shift in a function?

Back

Add/subtract in parentheses.

Front

Which direction does a function shift with addition in parentheses? Left or right

Back

Left

Front

Which direction does a function shift with subtraction in parentheses? Right or left

Back

Right

Front

What is horizontal stretch?

Back

A transformation that stretches the graph of a function horizontally.

Front

What Horizontal transformation is represented by (2x)^2?

Back

Horizontal Shrink by 1/2

Front

How does a horizontal stretch or shrink affect a graph?

Back

The graph either widens or narrows. Elements like radicands, denominators, and absolute values are considered as if inside parentheses. A coefficient greater than 1 results in a shrink, while a coefficient between 0 and 1 results in a stretch.

Front

what horizontal transformation does this show?

√2/5x

Back

Stretch by 5/2

Front

Vertical stretch/ shrink

Back

Graph is taller or shorter, controlled by coefficients outside parentheses, when coefficient is greater that 1 its vertical stretch. When between 0 and 1 its vertical shrink.

Front

Which vertical transformation is this?

5lxl

Back

Stretch by 5

Front

Which vertical transformation is this ?

2/3√x

Back

Vertical shrink by 2/3