# What is the equation of the line normal to #f(x)=3x^2 -x +1 # at #x=-3#?

##### 1 Answer

#### Explanation:

The function passes through the point

Denoting the point

by

The tangent to that point has instantaneous slope

A line perpendicular to the tangent will have slope

The line with this slope passing through

Denoting its slope by

For the normal, to the function

Noting

and

so that

and

The equation of the normal to

that is

that is