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 you

Question

4 years ago

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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 you

r knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.

Mathematics

1 answer:

forsale [732] · Answer 1 · 2022-01-04T06:49:19+03:00

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.