2 Find, in the form \( y=a x^{2}+b x+c \), the equation of the quadratic whose graph: a touches the \( x \)-axis at 4 and passes through \( (2,12) \) b has vertex \( (-4,1) \) and passes through \( (1,11) \)

6. Factorise each of the following expressions. \( \begin{array}{ll}\text { (a) } 2 x^{2}+3 x+1 & \text { (b) } 2 x^{2}+7 x+5 \\ \text { (c) } 3 y^{2}-5 y+2 & \text { (d) } 3 y^{2}-11 y+10 \\ \text { (e) } 4 m^{2}-4 m+1 & \text { (f) } 4 m^{2}+4 m-3\end{array} \)

8. Factorise each of the following expressions. (a) \( x(x-5)+6 \) (b) \( x^{2}+3(x-6) \) (c) \( (x-3)^{2}+12 x \) (d) \( (x+3)(x-4)-8 \) (e) \( (3 x-4)(2 x-5)+8(2 x-5) \) (f) \( (3 x-4)^{2}-(2 x+1)^{2} \)

11. \( y-7=-10 \)

a) \( \begin{aligned} 4 y+20 & =40 \\ 7 z-15 & =55\end{aligned} \)

11. \( y-7=-10 \)