Parabolas - Half the distance from the x axis
y=12x2 - Half the distance from the x axis.
To prove this, plot the graph.
Try different values of x
| x=3 | y=12×32 | =12×9 | =412 | |
| x=2 | y=12×22 | =12×4 | =2 | |
| x=1 | y=12×12 | =12×1 | =12 | |
| x=0 | y=12×02 | =12×0 | =0 | |
| x=-1 | y=12×(-1)2 | =12×1 | =12 | |
| x=-2 | y=12×(-2)2 | =12×4 | =2 | |
| x=-3 | y=12×(-3)2 | =12×9 | =412 |
Notice the parabola is 12 the distance from the x axis.
