What is the equation of a parabola that is a vertical translation of #-y=x^2-2x+8# of 3 and a horizontal translation of 9?

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Answer 1 · 2015-12-15T16:22:19

#- (y' ± 3) = (x' ± 9)^2 -2(x' ±9) + 8#

Vertical translation: #y := y' ± 3#

Horizontal one: #x := x' ± 9#

So, there are four solutions ++/+-/-+/--.

For instance,

#- (y' + 3) = (x' + 9)^2 -2(x' +9) + 8#

#-y - 3 = x^2 + 18x + 81 -2x - 18 + 8#

#-y = x^2 + 16x + 74#