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` |
Notice the parabola is `1/2` the distance from the `y` axis.
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-log-table-1.4df6ee6.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-log-table-2.d516bb3.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-anti-log-table-1.b0b0513.jpg)
![](/images/user/base/Maths/Logarithms/Reference%20Tables/reference-anti-log-table-2.f89189d.jpg)