Question 10 - A-Level Maths

Exam Board	OCR MEI
Module	AS Paper 1 (AS Paper 1)
Session	Specimen
Topic	Composite & Inverse Functions

Sketch the graph of \(y = \frac { 1 } { x } + a\), where \(a\) is a positive constant.
- State the equations of the horizontal and vertical asymptotes.
- Give the coordinates of any points where the graph crosses the axes.
- Find the equation of the normal to the curve \(y = \frac { 1 } { x } + 2\) at the point where \(x = 2\).
- Find the coordinates of the point where this normal meets the curve again.