Function Familes - Transformations

Dilation:

A horizontal stretch is a transformation that causes the graph of a function to stretch (a)   from the y-axis when all the x-coordinates are multiplied by a factor of $$a$$ , where $$0<a<1$$ .

Dilation:

A horizontal shrink is a transformation that causes the graph of a function to stretch (a)   the y-axis when all the x-coordinates are multiplied by a factor of $$a$$ , where $$a>1$$ .

Dilation:

A vertical stretch is a transformation of the graph of a function to stretch (a)   from the x-axis when all the y-coordinates are multiplied by a factor $$a,\$$ where $$a>1.$$

Dilation:

A vertical shrink is a transformation of the graph of a function to stretch (a)   the x-axis when all the y-coordinates are multiplied by a factor $$a,\$$ where $$0<a<1.$$

Reflection:

A horizontal reflection is a transformation that causes the graph of a function to flip across _____ . It is represented by $$y=f\left(-x\right)$$ .

Reflection:

A vertical reflection is a transformation that causes the graph of a function to flip across _____ . It is represented by $$y=-f\left(x\right)$$ .