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Debora [2.8K]
3 years ago
14

F(x)=x^2 what is g(x)

Mathematics
1 answer:
MrRissso [65]3 years ago
6 0
The answer is C. g(x) = (4x)^2

We can see the transformation applied to the function is a compression which means:

g(x) = f(c•x) , c > 1

We can find c using the point in the graphic of g(x), (1, 16)

so we can replace x=1 and g(x) = 16
g(x) = f(c•x)
g(x) = (c•x)^2
16 = (c•1)^2
16 = c^2
√16 = c
4 = c

Then we can replace c in the formula
g(x) = (4x)^2
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10

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