The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.
Stage: 4 Challenge Level:
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.
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