SOLUTION: Suppose the graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph?

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Question 115512: Suppose the graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
b)

From this graph, we can see the vertex is (0,6). So this means h=0 and k=6

So we'll follow the same routine as we did for part a)

Start with the general equation in vertex form. In this case, a=1


Plug in h=0 and k=6.


Rewrite as .



So the equation of the parabola that has been shifted 6 units up is

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