(03.06 lc)
the functions f(x) = (x+4)2+2 and g(x) = (x - 2)2-2 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 (10 points)
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both are a minimum

Step-by-step explanation:

Given a quadratic function in vertex form

y = a(x - h)² + k

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Here

f(x) = (x + 4)² + 2 ← with a = 1 > 0 ⇒ minimum vertex

g(x) = (x - 2)² - 2 ← with a = 1 > 0 ⇒ minimum vertex

answer: the answer to your question is parallel