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

F(x)=x^2 what is g(x)-example-1
User Calpau
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2 Answers

4 votes

You see that (2,2) is on g(x). So plugging in (2,2) into each of the equations, you see that only C) g(x)=
(x^2)/(2) works.


User Sushicutta
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6 votes

Answer:

The correct option is C.

Explanation:

The given function is


f(x)=x^2

From the given graph it is clear that the vertex of f(x) and g(x) are same, i.e.,(0,0). But the graph of g(x) compressed vertically.


g(x)=kf(x)

If k>1, then graph of g(x) stretched vertically and if k<1, then graph of g(x) compressed vertically.


g(x)=kx^2

The graph of g(x) passing through the point (2,2).


2=k(2)^2


2=4k


k=(1)/(2)

The value of k is 1/2. The function g(x) is


g(x)=(1)/(2)x^2

Therefore, option C is correct.

User Willk
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6.9k points