| Exam Board | AQA |
|---|
| Module | AS Paper 2 (AS Paper 2) |
|---|
| Year | 2023 |
|---|
| Session | June |
|---|
| Topic | Quadratic Functions |
|---|
6 A curve has equation
$$y = 2 x ^ { 2 } + p x + 1$$
A line has equation
$$y = 5 x - 2$$
Find the set of values of \(p\) for which the line intersects the curve at two distinct points.
Give your answer in exact form.
\(7 \quad\) The curve \(C\) has equation \(y = \mathrm { f } ( x )\)
\(C\) has a maximum point at \(P\) with coordinates ( \(a , 2 b\) ) as shown in the diagram below.
\includegraphics[max width=\textwidth, alt={}, center]{e3635007-2ad1-4b2a-b937-41fe90bb1111-07_483_643_456_788}