Parametric Equations Worksheet

Explore and analyze parametric equations, converting between parametric and Cartesian forms, and graphing parametric curves.

Grade 12 Math AlgebraParametric Equations

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GPE.A.1CCSS.MATH.CONTENT.HSF.IF.C.7CCSS.MATH.CONTENT.HSF.BF.A.1

Topics

Parametric EquationsAlgebraPrecalculusGrade 12

7 sections · Free to use · Printable

Parametric Equations

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Convert the following parametric equations to Cartesian form:

a) x = 3t - 1, y = 2t + 4

b) x = 5cosθ, y = 5sinθ

2. Which of the following parametric equations represents a parabola?

x = t, y = t^2

x = cos(t), y = sin(t)

x = t^2, y = t

x = 2t, y = 3t

3. Sketch the curve represented by the parametric equations x = t + 1, y = t^2 for -2 ≤ t ≤ 2.

Include the direction of the curve.

4. For the parametric equations x = 4cos(t) and y = 4sin(t), the Cartesian equation is , which represents a with radius . The curve is oriented .

5. Parametric equations can only represent curves that are functions.

True

False