Parabolas - Half the distance from the y axis
y=(2x)2 - Halves the distance from the y axis.
To prove this, plot the graph.
Try different values of x
| x=3 | y=(2×3)2 | =(6)2 | =36 | |
| x=2 | y=(2×2)2 | =(4)2 | =16 | |
| x=1 | y=(2×1)2 | =(2)2 | =4 | |
| x=0 | y=(2×0)2 | =(0)2 | =0 | |
| x=-1 | y=(2×(-1))2 | =(-2)2 | =4 | |
| x=-2 | y=(2×(-2))2 | =(-4)2 | =16 | |
| x=-3 | y=(2×(-3))2 | =(-6)2 | =36 |
Notice the parabola is 12 the distance from the y axis.
