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The functions f(x) = −(x + 4)2 + 2 and g(x) = (x − 2)2 − 2 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.

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amna04352

Answer:

f(x): Max turning point at (-4,2)

g(x): Min turning point at (2,-2)

Step-by-f(step explanation:

y = a(x - h)² + k

Is the completed square form of a quadratic, where a tells the nature of the turning point and (h,k) is the turning point.

When a < 0, it's max (function f)

When a > 9, it's min (function g)

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