Parabolas - Double the distance from the `y` axis
`y=(1/2x)^2` - Doubles the distance from the `y` axis.
To prove this, plot the graph.
Try different values of `x`
`x=4` | `y=(1/2times4)^2` | `=(2)^2` | `=4` | |
`x=3` | `y=(1/2times3)^2` | `=(1.5)^2` | `=2.25` | |
`x=2` | `y=(1/2times2)^2` | `=(1)^2` | `=1` | |
`x=1` | `y=(1/2times1)^2` | `=(1/2)^2` | `=0.25` | |
`x=0` | `y=(1/2times0)^2` | `=(0)^2` | `=0` | |
`x=-1` | `y=(1/2times(-1))^2` | `=(-1/2)^2` | `=0.25` | |
`x=-2` | `y=(1/2times(-2))^2` | `=(-1)^2` | `=1` | |
`x=-3` | `y=(1/2times(-3))^2` | `=(-1.5)^2` | `=2.25` | |
`x=-4` | `y=(1/2times(-4))^2` | `=(-2)^2` | `=4` |
Notice the parabola is double the distance from the `y` axis.