This is shown by the points on the line such as (10, 10) and (-4, -4). Graph A is \(y = -x\). All the coordinates have \(x\) and \(y\) values that are equal in magnitude but with opposite signs.

In a mesmerizing blend of art and mathematics, a research student from University College London (UCL) has recently gained ...

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following ...

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 ...

Sketch the graph of this conic section which shows the focus, directrix and vertices. Identify and sketch the graph of the conic section defined by \begin{equation*} r=\frac{1}{2-4\cos \theta } ...