Before you start, it may be helpful to read the guides on coordinates and graphs from Module 2 (M2 ... of the line L₂ which goes through (4, -4) and is at right angles to L₁?

because it has moved 2 to the right and 1 up. Which point has coordinates \(\text{(-3,~4)}\) in the next graph? Remember to go left or right for the first number, then up or down for the second.

Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...