The sketch represents the graph of $y=3+2x-x^2$. Point $A$ has coordinates $(-1,0)$, and point $B$ has coordinates $(2,3)$.
(a)[2]
Find the derivative of $3+2x-x^2$.
(b(i))[3]
Show that the equation of the tangent at $A$ is $y=4x+4$.
(b(ii))[3]
Find the equation of the line $L$. Present your answer in the form $y=mx+c$.
(c)[3]
Find the coordinates of the maximum point on the graph of $y=3+2x-x^2$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Answer $2-2x$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI