Rotating simple parabolas
Rotating y=x2 by 90° clockwise or anticlockwise you have to remember.
Rotate y=x2 clockwise y=√x
Rotate y=x2 anticlockwise y=√-x
So first plot y=x2
Try different values of x
x=3 | y=32 | =9 | |
x=2 | y=22 | =4 | |
x=1 | y=12 | =1 | |
x=0 | y=02 | =0 | |
x=-1 | y=(-1)2 | =1 | |
x=-2 | y=(-2)2 | =4 | |
x=-3 | y=(-3)2 | =9 |
And we plot this as
Now plot y=√x
try different values of x
x=0 | y=√0=0 | ||
x=1 | y=√1=±1 | =+1 or -1 | |
x=4 | y=√4=±2 | =+2 or -2 | |
x=9 | y=√9=±3 | =+3 or -3 |
Now plot y=√-x
try different values of x
x=0 | y=√-1×0=0 | ||
x=-1 | y=√-1×-1=√1 | =+1 or -1 | |
x=-4 | y=√-1×-4=√4 | =+2 or -2 | |
x=-9 | y=√-1×-9=√9 | =+3 or -3 |
Now plot this against the original graph.



