The graph of F(x), shown below, has the same shape as the graph of

G(x) = x2. Which of the following is the equation ofFx)?

+

5

-5

FOO = ?

O A. Fx) = x2.5

O )

B. Fx) = 5 - x2

O C. F(x) = x2 + 5

O D. F(x) = x2

Question

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Answer :

saimaparvezVT saimaparvezVT · Answer 1 · 2023-11-05T02:32:22-05:00

The equation of the given graph is F(x) = x² - 5. The correct answer is an option (A).

A parabola is a U-shaped curve this is drawn for a quadratic function.

The graph of F(x) = x² - 5 is a parabola that opens upward and is shifted 5 units down compared to the graph of G(x) = x².

The vertex of the parabola is located at (0,-5) instead of (0,0) as it is for the graph of G(x) = x².

The shape of the parabola is the same as that of G(x) = x², but it is translated downward by 5 units.

This means that the minimum point (vertex) of F(x) is located 5 units below the minimum point (vertex) of G(x).

Thus, the correct answer is an option (A).

Learn more about the parabola here:

brainly.com/question/4074088

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