PLEASE HELP! 30 POINTS!
The functions of f(x) = -(x-1)^2 - 2 and g(x) = (x+2)^2 + 1 have been rewritten using the completing-the-square method. State the vertex for each function. Is the vertex for each function a minimum or maximum? Explain your reasoning for each function.

These equations are already in vertex form. So, we can easily find the vertex of each equation.

f(x) = -(x-1)^2 - 2

Vertex: (1,-2)

The vertex in this equation is the maximum because it faces down (a=-1).

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

Vertex: (-2,1)

The vertex in this equation is the minimum because it faces up (a=1).

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step-by-step explanation: