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