Precalculus Examples

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

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

Step 1

Divide each term by

16

$16$ to make the right side equal to one.

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

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

Step 2

Simplify each term in the equation in order to set the right side equal to

1

$1$ . The standard form of an ellipse or hyperbola requires the right side of the equation be

1

$1$ .

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

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

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