Trig Lab Worksheets

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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: 𝒙𝟐 = 𝒂, 𝒕𝒉𝒆𝒏 𝒙 = ± √𝒂

#1 Solve for x. Give the exact answer.

a) 𝑥2 = 121 b) 𝑥2 = 64𝑦2 c) (𝑥 − 2)2 = 25 d) 𝑥2 + 8 = 20 (2)REVIEW: intercepts

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

• 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) 𝑥 − 3𝑦 = 3

b) 𝑦 = 1

2 𝑥 + 5

c) (𝑥 − 1)2 + 𝑦 = 4

d) 𝑥 − (𝑦 + 3)2 = 4

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e) (𝑥 − 1)2 + (𝑦 + 3)2 = 10

f) (𝑦 + 1)2 − (𝑥 + 2)2 = 5

#3 Graph each equation a) 𝑦 = 2𝑥 − 3 b) 𝑦 = −3𝑥 + 5

c) 𝑦 = 3

2 𝑥 + 1 d) 𝑦 =

−3

5 𝑥 + 2

#4 Find an equation of the given line.

a) b)