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: 𝒙
𝟐 = 𝒂, 𝒕𝒉𝒆𝒏 𝒙 = Β± βˆšπ’‚
#1 Solve for x. Give the exact answer.
a) π‘₯
2 = 121 b) π‘₯
2 = 64𝑦
2
c) (π‘₯ βˆ’ 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‘₯ βˆ’ 3𝑦 = 3 b) 𝑦 =
1
2
π‘₯ + 5
c) (π‘₯ βˆ’ 1)
2 + 𝑦 = 4 d) π‘₯ βˆ’ (𝑦 + 3)
2 = 4
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e) (π‘₯ βˆ’ 1)
2 + (𝑦 + 3)
2 = 10 f) (𝑦 + 1)
2 βˆ’ (π‘₯ + 2)
2 = 5
#3 Graph each equation
a) 𝑦 = 2π‘₯ βˆ’ 3 b) 𝑦 = βˆ’3π‘₯ + 5
c) 𝑦 =
3
2
π‘₯ + 1 d) 𝑦 =
βˆ’3
5
π‘₯ + 2
#4 Find an equation of the given line.
a) b)