The constant k k\,k satisfies 0<k<18.750<k<18.750<k<18.75.
Express 3x2−15x+k3x^2 - 15x + k3x2−15x+k in the form a(x+b)2+ca(x + b)^2 + ca(x+b)2+c
State the coordinates of the minimum point of the curve y=3x2−15x+ky = 3x^2 - 15x + ky=3x2−15x+k
State the equation of the normal to the curve y=3x2−15x+ky = 3x^2 - 15x + ky=3x2−15x+k at its minimum point.
322 exam-style questions on Edexcel A Level Maths Quadratics, covering 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics. Each one has a worked solution and a mark scheme showing where the marks go.