Which equation is y = 3 (x - 2) 2 - (x - 5) 2 rewritten in vertex form?

Question

Mathematics

Lorelai Wiggins

9 September, 22:44

Which equation is y = 3 (x - 2) 2 - (x - 5) 2 rewritten in vertex form?

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Answers (1)

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Simon · Answer 1

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y=3 (x^2-4x+4) - (x^2-10x+25)

y=3x^2-12x+12-x^2+10x-25

y=3x^2-x^2-12x+10x+12-25

y=2x^2-2x-13

complete the square

y=2 (x^2-x) - 13

y=2 (x^2-x+1/4-1/4) - 13

y=2 ((x-1/2) ^2-1/4) - 13

y=2 (x-1/2) ^2-1/2-13

y=2 (y-0.5) ^2-13.5