The line $y=mx-4$ is tangent to the curve $y=x^2$. Find all possible $m$. Find the correspondi

Question

The line $y=mx-4$ is tangent to the curve $y=x^2$. Find all possible $m$. Find the corresponding points of contact. Find the values of $m$ for which the line has no intersection with the curve.

Accepted Answer

(a) $m=\pm4$; (b) $(2,4),(-2,4)$; (c) $-4<m<4$

Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Solution:

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