The curve C C\,C has equation y=a(x+b)2+cy=a(x+b)^2+cy=a(x+b)2+c and minimum point (3,8)(3,8)(3,8). The curve is translated by the vector (−40)\begin{pmatrix}-4\\0\end{pmatrix}(−40) and the translated curve passes through (−6,13)(-6,13)(−6,13).
State the values of b b\,b and ccc.
Find aaa.
306 exam-style questions on CCEA A Level Maths 1.1 Algebra and functions, covering 1.1.1 Algebra and functions, 1.1.2 Algebra and functions, 1.1.3 Algebra and functions, 1.1.4 Algebra and functions, 1.1.5 Algebra and functions, 1.1.6 Algebra and functions, 1.1.7 Algebra and functions, 1.1.8 Algebra and functions, 1.1.9 Algebra and functions, 1.1.10 Algebra and functions, 1.1.11 Algebra and functions, 1.1.12 Algebra and functions, 1.1.13 Algebra and functions, and 1.1.14 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.