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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

Cumulative Standards Review

Exercise 30 Page 760

The equation of a horizontal hyperbola is $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1 .$ The vertices are $(\pm a, 0) .$ How can you find the foci and the asymptotes?

Vertices: $(\pm 4, 0)$
Intercepts: $(\pm 4, 0)$
Asymptotes: $y = \pm \frac{3}{4} x$
Foci: $(\pm 5, 0)$

Practice makes perfect

We will find the desired information, and use it to draw the graph of the hyperbola. Let's start by recalling the equation of hyperbolas centered at the origin.

Horizontal Hyperbola \frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1 Vertical Hyperbola \frac{y ^{2}}{a ^{2}} - \frac{x ^{2}}{b ^{2}} = 1

Now we will rewrite the given equation to match one of these formats.

Subchapter links

Exercises p.758-760

Vocabulary Review