Question

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

Answer 1

`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`