The question is

Let f(x)= x². Evaluate g(x)= -2f(x+1) + 1 and plot each transformation in steps, the last graph should be the graph of g.

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- Apr 16th 2008, 08:56 AM #1

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- Apr 16th 2008, 09:01 AM #2

- Apr 16th 2008, 09:12 AM #3
1) $\displaystyle f(x+1) = (x+1)^2$ parabola centered at -1 facing up.

2) $\displaystyle -2f(x+1) = -2(x+1)^2$ parabola centered at -1 facing down and amplified by 2.

3) $\displaystyle -2f(x+1) + 1 = -2(x+1)^2 + 1$ parabola centered at -1 facing down and amplified by 2, which is then shifted up along y-axis by 1 unit.

- Apr 16th 2008, 09:20 AM #4

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