Trig Lab Worksheets

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Math 1083 WS 19 Getting Ready for Parametric Equations-Graphs Objectives:

3. Determine the domain and range of a function

4. Graph equations of circles and parabolas

#1. Find the domain and range of each equation.

a) 𝑦 = 𝑥2 + 2 b) 𝑦 = −𝑥2 + 4

c) 𝑦 = 𝑒−2𝑥 d) 𝑦 = 3 sin 𝑥 − 2

Review: Equation of a circle

The circle with center (ℎ, 𝑘) and radius 𝑟 is given by the equation

(𝑥 − ℎ)2 + (𝑦 − 𝑘)2 = 𝑟2

#2. Find the center and radius of each circle. Sketch the circle.

a) (𝑥 − 3)2 + (𝑦 + 1)2 = 9 b) 𝑥2 + (𝑦 − 1

2 )

2

= 1

4

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#3 Sketch each curve.

a) 𝑦 = 𝑥2 − 1 b) 𝑥 = 𝑦2 − 1

c) 𝑦 = (𝑥 − 1)2 − 2, 𝑥 ≥ 1 d) 𝑦 = 3𝑥 − 4, 0 ≤ 𝑥 ≤ 2