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Describe the relationship between the graph of f(x) = x2 and the graph of g(x) = (x – 4)2 + 3.
A.
They are exactly the same function.
B.
The graph of g(x) looks exactly like the graph of f(x), but it has been moved 3 units to the right and 4 units up.
C.
The graph of g(x) looks exactly like the graph of f(x), but it has been moved 4 units to the left and 3 units up.
D.
The graph of g(x) looks exactly like the graph of f(x), but it has been moved 4 units to the right and 3 units up.
F(x)=x^2 is a basic parabola G(x)=(x-4)^2+3 is a shifted parabola The -4 in g(x) means move to the right 4 units The +3 means move up 3 units Final answer: Choice D, 4 units to the right and 2 units up
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