Yes, you will need graph paper!!! Homework: PG 628 #1-4, 10-19 (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!!!

Quality Core Practice

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.

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.

Example 2: Graph the following 𝑥 2 36 − 𝑦 2 4 =1 𝑦 2 25 − 𝑥 2 9 =1 4 𝑥 2 −16 𝑦 2 =64

Ex 3: Graph the hyperbola 𝑥+3 2 4 − 𝑦 −2 2 9 =1

Ex 4: write the equation for each hyperbola

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