Mammoth Memory

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

Draw out the famous parabola to start to rotate it

 

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 rotate the parabola clockwise remembering y=?x as we go

 

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. 

Now rotate the parabola anticlockwise remembering y=?-x as we go