Parabolas - Double the distance from the x axis
y=2x2 - Double the distance from x axis.
To prove this, plot the graph.
Try different values of x
| x=3 | y=2×32 | =2×9 | =18 | |
| x=2 | y=2×22 | =2×4 | =8 | |
| x=1 | y=2×12 | =2×1 | =2 | |
| x=0 | y=2×02 | =2×0 | =0 | |
| x=-1 | y=2×(-1)2 | =2×1 | =2 | |
| x=-2 | y=2×(-2)2 | =2×4 | =8 | |
| x=-3 | y=2×(-3)2 | =2×9 | =18 |
Notice the parabola is double the distance from the x axis.
