Question

Find the value of c such that y= x + c is a tangent to the parabola y = x squared - x - 12

Answer 1

c = –13

Explanation:

by property of tangent line, equation

x² – x – 12 = x + c

x² – 2x – 12 – c = 0

has only one solution, which mean

– 12 – c = 1

c = –13