Mammoth Memory

Parabolas - Half the distance from the `x` axis

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

To prove this, plot the graph.

Try different values of `x`

`x=3`   `y=1/2times3^2` `=1/2times9` `=4\1/2`
`x=2`   `y=1/2times2^2` `=1/2times4` `=2`
`x=1`   `y=1/2times1^2` `=1/2times1` `=1/2`
`x=0`   `y=1/2times0^2` `=1/2times0` `=0`
`x=-1`   `y=1/2times(-1)^2` `=1/2times1` `=1/2`
`x=-2`   `y=1/2times(-2)^2` `=1/2times4` `=2`
`x=-3`   `y=1/2times(-3)^2` `=1/2times9` `=4\1/2`

 To enlarge a parabola you can half the distance from the x axis

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

Notice the halved distance of the parabola on the graph

 

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