Question

MEDAL AND FAN
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

the concavity of a parabola is determined by the coefficient of the leading term

there are 2 simple examples shown below, with the concavity



you need to decide which equation will have a negative x^2 , that is the maximum

the positive x^2 will be the minimum.

hope it makes sense