The formula y=ax²+bx+c or x=ay²+by+c represents the standard form of a parabola. The way to find it is through a process called completing the square, which involves reorganizing and simplifying the equation handed to you. The coefficient of x² or y², known as 'a', can be used to determine the orientation and breadth of the parabola.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the standard form of the equation of the par… | Given the focus of the parabola at (-1,6) and the directrix at y=2. |
| None | Find the standard form of the equation of the e… | The standard form of the equation of an ellipse with its center at the origin (0,0) is given by \(\… |