Question

The functions f(x) = (x + 1)2 − 2 and g(x) = -(x − 2)2 + 1 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 negative outside the parentheses indicates that the vertex is a maximum

f(x) has a minimum vertex

g(x) has a maximum

Explanation: