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 curve passes through the point (−6,13)(-6, 13)(−6,13). Find the value of aaa.