Manipulating parabolas
The most famous parabola
In any parabola question always remember the most famous parabola, this will help you learn what happens with transforming parabolas.
`y=x^2`
To remember the most famous parabola:
Why! Even `x` has `2` parabolas `(y=x^2)`
Now plot the parabola `y=x^2`
Try values of `x`
`x=3` | Then | `y=` | `3^2` | `=9` |
`x=2` | Then | `y=` | `2^2` | `=4` |
`x=1` | Then | `y=` | `1^2` | `=1` |
`x=0` | Then | `y=` | `0^2` | `=0` |
`x=-1` | Then | `y=` | `-1^2` | `=1` |
`x=-2` | Then | `y=` | `-2^2` | `=4` |
`x=-3` | Then | `y=` | `-3^2` | `=9` |
And if we plot this
Here is the most famous parabola in the world plotted out.