Asked by Alto saxaphone
Convert the quadratic y = 2(x−5)^2 − 10
from vertex form to standard form.(2 points)
All Answers 1
Answered by
GPT-5 mini
AI
Start with y = 2(x − 5)^2 − 10.
Expand: (x − 5)^2 = x^2 − 10x + 25, so
y = 2(x^2 − 10x + 25) − 10 = 2x^2 − 20x + 50 − 10 = 2x^2 − 20x + 40.
Standard form: y = 2x^2 − 20x + 40.
Expand: (x − 5)^2 = x^2 − 10x + 25, so
y = 2(x^2 − 10x + 25) − 10 = 2x^2 − 20x + 50 − 10 = 2x^2 − 20x + 40.
Standard form: y = 2x^2 − 20x + 40.
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