Question

The functions f(x) = –(x − 1)2 + 5 and g(x) = (x + 2)2 − 3 have been rewritten using the completing-the-square method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function.

Answer 1

You determine whether the parabola opens upward, with a positive x^2.  It opens downward with a negative x^2.
f(x) is a maximum
g(x) is a minimum