# Getting Ready for Hyperbolas

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Math 1083 WS 21 Getting Ready for Hyperbolas

Objectives:

1. Apply the Square Property Rule

2. Find Intercepts

3. Graph Lines

(1)Review: π

π = π, ππππ π = Β± βπ

#1 Solve for x. Give the exact answer.

a) π₯

2 = 121 b) π₯

2 = 64π¦

2

c) (π₯ β 2)

2 = 25 d) π₯

2 + 8 = 20

(2)REVIEW: intercepts

β’ To find x-intercept(s), let y = 0 and then solve for x.

β’ To find y-intercept(s), let x = 0 and then solve for y.

#2 Find the x-intercepts and y-intercepts. Write the answer in the ordered pair. Write NONE, if

there is no intercepts.

a) π₯ β 3π¦ = 3 b) π¦ =

1

2

π₯ + 5

c) (π₯ β 1)

2 + π¦ = 4 d) π₯ β (π¦ + 3)

2 = 4

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e) (π₯ β 1)

2 + (π¦ + 3)

2 = 10 f) (π¦ + 1)

2 β (π₯ + 2)

2 = 5

#3 Graph each equation

a) π¦ = 2π₯ β 3 b) π¦ = β3π₯ + 5

c) π¦ =

3

2

π₯ + 1 d) π¦ =

β3

5

π₯ + 2

#4 Find an equation of the given line.

a) b)