Ellipses, Hyperbolas

The values ${\displaystyle a}$ and ${\displaystyle b}$ can be fractional, as can be seen by taking the following equation:

• ${\displaystyle {\frac {4(x)^{2}}{1}}+{\frac {16(y)^{2}}{1}}=1}$ where ${\displaystyle a={\frac {1}{2}},b={\frac {1}{4}}}$

Equations found in questions may not be in the general form, and may need to be transformed via the complete the square method::

Circles

Equations found in questions may not be in the general form, and may need to be transformed via the complete the square method, in conjunction with extricating all variables from under root symbols; an example follows:

=== Circular Functions ===j