Sunday Afternoon Maths L

Hide answer

$$x^2-2x+2=(x-1)^2+1$$ $$2x^2-4x+3=2(x-1)^2+1$$ $$p(x)=a(x-1)^2+1\quad\text{where }1\leq a\leq 2$$ $$\begin{array}{rl} 181&=p(11)\\ &=a(11-1)^2+1\\ &=100a+1 \end{array}$$ $$\begin{array}{rl} p(16)&=1.8(16-1)^2+1\\ &=1.8\times225+1\\ &=406 \end{array}$$