The line $y=2x+c$ is tangent to the curve $y=x^2-4x+7.$ Find $c$ and the coordinates of the po

Question

The line $y=2x+c$ is tangent to the curve $y=x^2-4x+7.$ Find $c$ and the coordinates of the point of contact.

Accepted Answer

$c=-2$; point of contact $(3,4)$.

Quadratic Functions, Equations and Inequalities