Question

Which of the following is the equation of g(x) if the parent function is f(x) = x2 and a = 3, h = -5, and k = 6? f(x) = 3(x - 5)2 + 6 f(x) = -3(x + 5)2 + 6 f(x) = 3(x + 5)2 + 6 f(x) = 3(x - 5)2 - 6

Answer 1

 = Vertex form: y = a(x - h)^2+ k

You would have to substitute with the values given

y = 3(x-(-5))^2 + 6

Multiply the two negatives so that it becomes a positive giving you:

y = 3(x+5)^2+6

Answer: C f(x) = 3(x+5)2 + 6

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