# Geometric Parabola

##### Age 14 to 16 Challenge Level:

$$y=ax^2+2bx+c$$

Start with $a=1, b=2, c=4$ - what does the graph look like? What
key points does it pass through?

Then try $a=2, b=4, c=8$, $a=4, b=8, c=16$ and so on. Look for
similarities and differences between the graphs.