How do you write y = 4(x-1)^2-10y=4(x−1)2−10 into standard form?

1 Answer
Jim H
May 1, 2015

Multiply it out and simplify (combine like terms) putting the terms in decreasing order of exponents.

y = 4(x-1)^2-10y=4(x−1)2−10
For the order of operations, we need to square before we multiply by 44

If you need to work out (x-1)^2(x−1)2 in the margin, or on extra paper, do so.
(x-1)^2 = (x-1)(x-1) = x^2 - x - x +1 = x^2-2x+1(x−1)2=(x−1)(x−1)=x2−x−x+1=x2−2x+1

y = 4(x-1)^2-10y=4(x−1)2−10

y = 4(x^2-2x+1)-10y=4(x2−2x+1)−10

y = 4x^2-8x+ 4 -10y=4x2−8x+4−10

y = 4x^2-8x - 6y=4x2−8x−6

And that's it. We are finished.

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