1. Yes, you will need graph paper!!!
Homework: PG 628 #1-4, (graph only), 44, 53-54, 56
Learning Target: I will write the equation of a hyperbola and graph a hyperbola given an equation.
Sec 5: Hyperbolas
Yes, you will need graph paper!!!

2. Quality Core Practice

3. Standard Equation of a Hyperbola
The standard form of the equation of a hyperbola is
𝑥−ℎ 2 𝑎 2 − 𝑦−𝑘 2 𝑏 2 =1 or
𝑦 −𝑘 2 𝑏 2 − 𝑥 −ℎ 2 𝑎 2 =1
Where (h, k) is the center, and the asymptotes are at ±𝑏 𝑎 .
*the dotted lines are the asymptotes that the hyperbola can never touch.

4. Ex 1: Graph the Hyperbola
𝒙 𝟐 𝟗 − 𝒚 𝟐 𝟏𝟔 =𝟏
Locate the center.
Determine which direction the hyperbola will be going.
Using the a or b (depending on which direction you chose in #2), put 2 points on the graph that will be the vertices for each half of the hyperbola.
Use a and b to lightly draw in the asymptotes. This will determine the width of the curves.
Fill in the curves of the hyperbola.

5. Example 2: Graph the following
𝑥 − 𝑦 2 4 =1
𝑦 − 𝑥 2 9 =1
4 𝑥 2 −16 𝑦 2 =64

6. Ex 3: Graph the hyperbola
𝑥 − 𝑦 − =1

7. Ex 4: write the equation for each hyperbola

8. HOMEWORK PG 628 #1-4, 10-19 (graph only), 44, 53-54, 56
You will need graph paper.