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. 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.

Answer 1

Answer:

Step-by-step explanation:

A positive parabola is one that has a + sign out front or no sign at all (and the positive is understood).  A positive parabola opens like a cup with a bottom.  Therefore, the positive parabola has a min value.  A negative parabola opens upside down, like a mountain with a peak.  Therefore, the negative parabola has a max value.