June 2018 Paper 1 Q11
11 A curve has equation \(\quad y = 2x^2 + 3x - 9\)
At a point \(P\) on the curve, the tangent is parallel to the line \(\quad y = 4 - 5x\)
Work out the coordinates of \(P\).
You must show your working. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(4x + 3\) or gradient \(= -5\) seen | M1 | |
| \(4x + 3 = -5\) | M1dep | |
| \(x = -2\) | A1 | |
| \(y = -7\) | A1ft | ft their \(x\) only if M2 earned |