Enlarging or reducing parabolas

If you enlarge or reduce a parabola you make it steeper or flatter and there are four elements you need to remember.

`y=2x^2`          - Doubles the distance from the `x`  axis.

`y=1/2x^2`        - Halves the distance from the `x`  axis.

`y=(2x)^2`       - Halves the distance from the `y`  axis.

`y=(1/2x)^2`  - Doubles the distance from the `y`  axis.

We can remember this by using the following chart:

 Note also that

`y=3x^2`          - Triples the distance from the `x`  axis.

`y=1/3x^2`        - Thirds the distance from the `x`  axis.

`y=(3x)^2`       - Thirds the distance from the `y`  axis.

`y=(1/3x)^2`  - Triples the distance from the `y`  axis.

`y=x^2`

`y=x^2` should be plotted as: