The equation of f(x) based on the information given in the graph will be B. f(x) = -3(x + 4)² + 4.
How to calculate the equation?
The function given is g(x) = x². It should be noted that the general equation of the parabola is given as:
y = a(x - h)² + k
In this case, the value of a and the vertex coordinate will be put back into the equation. This will be:
y = -3(x -(-4))² + k
y = -3(x + 4)² + 4.
Therefore, the equation is f(x) = -3(x + 4)² + 4.
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