Precalculus Examples

$4 y^{2} - x^{2} = 16$

Step 1

Divide each term by $16$ to make the right side equal to one.

$\frac{4 y^{2}}{16} - \frac{x^{2}}{16} = \frac{16}{16}$

Step 2

Simplify each term in the equation in order to set the right side equal to $1$ . The standard form of an ellipse or hyperbola requires the right side of the equation be $1$ .

$\frac{y^{2}}{4} - \frac{x^{2}}{16} = 1$