WJEC Unit 1 2024 June — Question 16

Exam BoardWJEC
ModuleUnit 1 (Unit 1)
Year2024
SessionJune
TopicQuadratic Functions

16. (a) Find the range of values of \(k\) for which the quadratic equation \(x ^ { 2 } - k x + 4 = 0\) has no real roots.
(b) Determine the coordinates of the points of intersection of the graphs of \(y = x ^ { 2 } - 3 x + 4\) and \(y = x + 16\).
(c) Using the information obtained in parts (a) and (b), sketch the graphs of \(y = x ^ { 2 } - 3 x + 4\) and \(y = x + 16\) on the same set of axes.