Find the equation of the normal to the curve $y = 3x^{2} + 5x - 9$ at the point where $x = -2$,

Question

Find the equation of the normal to the curve $y = 3x^{2} + 5x - 9$ at the point where $x = -2$, hence find the $y$-coordinate of the point where this normal meets the curve again.

Accepted Answer

Normal: $y=\frac17x-\frac{47}{7}$, second-intersection $y$-coordinate: $-\frac{979}{147}$

Meeting the Curve Again

Meeting the Curve Again

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