Question

When 2x^2 - 20x + 49 = 19 is written in the form (x - p)^2 = q, what is the value of q? Show your work please.

Answer 1

 = 2x^2 - 20x + 49 = 2(x^2 - 10x + 49/2) 

y= 2((x-5)^2 - 25 + 49/2) = 2((x-5)^2 - 1/2) = 2(x-5)^2 - 1 

q =5, r=-1, p=2 

Vertex = (q,r) = (5,-1)

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