Parametric Equations Worksheet
This worksheet focuses on understanding and working with parametric equations, including converting between parametric and Cartesian forms, and sketching graphs.
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Parametric Equations Practice
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Read each question carefully and follow the instructions. Show all your work for full credit.
1. In parametric equations, both x and y are expressed as functions of a third variable, usually denoted by , which is called the .
2. To convert a parametric equation to a Cartesian equation, we often the parameter from the two equations.
1. Convert the following parametric equations to a Cartesian equation:
x = t + 3
y = 2t - 1
1. Which of the following is a parametric representation of the line y = 3x - 2?
x = t, y = 3t + 2
x = t, y = 3t - 2
x = 3t, y = t - 2
x = t - 2, y = 3t
1. Consider the parametric equations:
x = t^2
y = t + 1
Complete the table of values for t from -2 to 2.
t
x
y
-2
-1
0
1
2
2. Sketch the graph of the parametric equations using the values from the table above.
1. Parametric equations always represent a straight line.
True
False
2. The parameter 't' in parametric equations often represents time.
True
False
1. Write a set of parametric equations for a circle with radius 5 centered at the origin.