Two different quadratic functions of the form both touch the -axis.

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

Problem

Two different quadratic functions of the form

y = 9x^2 - kx + 4

both *touch* the

x

-axis. (1) Find the two values of

k

. (2) Find the point of intersection of the two quadratic functions.