Question

Let f(x) = x^2 -2x+1. Find all points on the graph of f(x) whose
tangent line also passes through the point (3,1).

I know f'(x)=2x-2

Tangent line that passes through pts.(3,1) is y=4x-11

But I don't get the part where it says to find all point on the graph??

Answer 1

y=xx-2x+1
y'=2x-2
9-6+1

(3,1) doesn't fit in f(x)

ask your teacher for help, I don't quite get it