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=x2
To remember the most famous parabola:
Why! Even x has 2 parabolas (y=x2)
Now plot the parabola y=x2
Try values of x
x=3 | Then | y= | 32 | =9 |
x=2 | Then | y= | 22 | =4 |
x=1 | Then | y= | 12 | =1 |
x=0 | Then | y= | 02 | =0 |
x=-1 | Then | y= | -12 | =1 |
x=-2 | Then | y= | -22 | =4 |
x=-3 | Then | y= | -32 | =9 |
And if we plot this
Here is the most famous parabola in the world plotted out.



