Parabolas - Double the distance from the `x` axis
`y=2x^2` - Double the distance from `x` axis.
To prove this, plot the graph.
Try different values of `x`
`x=3` | `y=2times3^2` | `=2times9` | `=18` | |
`x=2` | `y=2times2^2` | `=2times4` | `=8` | |
`x=1` | `y=2times1^2` | `=2times1` | `=2` | |
`x=0` | `y=2times0^2` | `=2times0` | `=0` | |
`x=-1` | `y=2times(-1)^2` | `=2times1` | `=2` | |
`x=-2` | `y=2times(-2)^2` | `=2times4` | `=8` | |
`x=-3` | `y=2times(-3)^2` | `=2times9` | `=18` |
Notice the parabola is double the distance from the `x` axis.