Consider the curve and the line

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider the curve

y=x^2+4x-1

and the line

y=2x+c

. Find the values of

c

for which the line: (1) Meets the curve twice. (2) Is a tangent to the curve. (3) Does not meet the curve.