SOLUTION: If the function G(x) = (x - 7)2 + 3 has the same shape as F(x) = x2 + 3, how far to the right of F(x) is G(x) shifted?

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Question 392727: If the function G(x) = (x - 7)2 + 3 has the same shape as F(x) = x2 + 3, how far to the right of F(x) is G(x) shifted?

Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the function G(x) = (x - 7)^2 + 3 has the same shape as F(x) = x^2 + 3, how far to the right of F(x) is G(x) shifted?
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Ans: 7 units
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Cheers,
Stan H.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

F(x) = x^2 + 3           |green parbola on graph

G(x) = (x -7)^2 + 3     |blue parabola on graph

vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

G(x) has shifted 7 units to the right of F(x)

F(x)and G(x) both parabolas one with Center (0,3) and the other (7,3)