The functions f(x) = −(x − 1)2 + 5 and g(x) = (x + 2)2 − 3 have been rewritten using the completing-the-square method. apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.

The vertex form of a quadratic function:

(h,k) - the coordinates of the vertex

If a>0, then the parabola opens upwards, so the vertex is the minimum of the function.

If a<0, then the parabola opens downwards, so the vertex is the maximum of the function.

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step-by-step explanation: