Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?

Asked by wiki @ 29/10/2020 in Mathematics viewed by 505 People

Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?
D.y=+or-sqrt28+4x so the answer is D.

Answered by wiki @ 29/10/2020

"The given expression is
2(x - 2)² = 8(7 + y)
Rewrite the expression as follows:
7 + y = (2/8)*(x-2)² = (1/4)*(x-2)²
y = (1/4)(x-2)² - 7

To find the inverse, switch x and y, and solve for y.
x = (1/4)(y-2)² - 7
Multiply through by 4.
4x = (y-2)² - 28
(y-2)² = 4x + 28
y - 2 = √(4x + 28)
y = 2 +/- √(4x + 28)
This expression is the inverse of the given expression.
Therefore the answer is D."

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