Mammoth Memory

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:

How to enlarge or reduce parabolas using this 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`       - Triples the distance from the `y`  axis.

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

 

 

`y=x^2`

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

`x=4`   `y=4^2` `=16`
`x=3`   `y=3^2` `=9`
`x=2`   `y=2^2` `=4`
`x=1`   `y=1^2` `=1`
`x=0`   `y=0^2` `=0`
`x=-1`   `y=(-1)^2` `=1`
`x=-2`   `y=(-2)^2` `=4`
`x=-3`   `y=(-3)^2` `=9`
`x=-4`   `y=(-4)^2` `=16`

 

More Info