Mammoth Memory

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:

The most famous parabola is y = x squared

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 plotted on a graph

Here is the most famous parabola in the world plotted out.