### Graphing Techniques

### Lesson 3: More Examples

Example 1

The curve C has equation

Sketch C, stating the equations of the asymptotes and the coordinates of any turning points.

Solution

Vertical asymptote: x = 3

Oblique asymptote: y = x + 8

When x = 0,

When y = 0,

Using G.C, the turning points are (-2, 1) and (8, 21).

Example 2

A curve C has parametric equations

Point P is located where .

Sketch C, showing clearly the features at the point P. You should also label the exact coordinates of the axial intercepts and point P.

Solution