1.1: Curve through a point and meeting the x-axis once

0606/11/M/J/16 — Question 1 · 3 marks

1.1 diagram
Find the value of kk for which the curve y=2x23x+ky = 2x^{2} - 3x + k
(i)
passes through the point (4,7)(4, -7),
[1]
(ii)
meets the xx-axis at one point only.
[2]