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 (3,8)(3, 8)(3,8).
State the values of b b\,b and ccc.
When the curve is translated by the vector (−40)\begin{pmatrix} -4 \\ 0 \end{pmatrix}(−40), the translated curve passes through the point (−6,13)(-6, 13)(−6,13). Find the value of aaa.
302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.