Mammoth Memory

Parabolas - Half the distance from the y axis

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

To prove this, plot the graph.

Try different values of `x`

`x=3`   `y=(2times3)^2` `=(6)^2` `=36`
`x=2`   `y=(2times2)^2` `=(4)^2` `=16`
`x=1`   `y=(2times1)^2` `=(2)^2` `=4`
`x=0`   `y=(2times0)^2` `=(0)^2` `=0`
`x=-1`   `y=(2times(-1))^2` `=(-2)^2` `=4`
`x=-2`   `y=(2times(-2))^2` `=(-4)^2` `=16`
`x=-3`   `y=(2times(-3))^2` `=(-6)^2` `=36`

 To reduce a parabola you need to half the distance from the y axis

 

Notice the parabola is `1/2` the distance from the `y`  axis.

Notice the halved distance of y in the graph

 

 

 

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