How to find the equation of the graph of the following cubic equation?

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1 Answer
Feb 25, 2018

#y = -2x^3-4x#

Explanation:

Note that:

#((1, 0),(0, -2))((x),(y)) = ((x),(-2y))#

So the transformation just has the effect of doubling the #y# coordinate and reversing its sign.

So given:

#y = x^3+2x#

the transformed cubic has equation:

#y = -2(x^3+2x) = -2x^3-4x#