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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-> 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
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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)
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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