[Math] Find the equation of the normal to the curve

calculus

Good day everyone.

The normal to the curve $y=x^2-2x$ at a point P is parallel to the straight line $y=-2x+5$ .Find the equation of the normal to the curve at point P.

What does it question mean? Please explain it to me…What's the difference between normal and parallel? I am not asking for working but I just need to understand this question. Thank you!

Best Answer

The normal to the curve $y=f(x)$ at the point $(a,f(a))$ is the line through $(a,f(a))$ which is perpendicular to the tangent line at $(a,f(a))$.

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