A curve with equation y=a(x+b)2+cy = a(x + b)^2 + cy=a(x+b)2+c has a minimum turning point at (4,6)(4, 6)(4,6)
State the values of b b\,b and ccc.
When the curve is translated by the vector (−20)\begin{pmatrix} -2 \\ 0 \end{pmatrix}(−20) the curve passes through the point (−1,15)(-1, 15)(−1,15). Find the value of aaa.
211 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.