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Parametric Equations

Authored by Lindsay Clark

Mathematics

12th Grade

CCSS covered

Used 15+ times

Parametric Equations
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the ordered pair based on the parametric equations. t = 3

x = 1 - 2t

y =4t + 1

(-5, 13)

(13, -5)

(5, 13)

(13, 5)

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the ordered pair based on the parametric equations.

t = -2

x = t2 - 2

y = -t + 2

(2, 4)

(4, 2)

(-6, 0)

(0,-6)

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write  x=2tx=2t  and  y=t2+3y=t^2+3  in rectangular form.

y=4x2+3y=4x^2+3  

y=14x2+3y=\frac{1}{4}x^2+3  

y=4t2+12y=4t^2+12  

y=(x−2)2+3y=(x-2)^2+3  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Eliminate the parameter.  x=1t−2x=\frac{1}{t-2}  and  y=4t−5y=4t-5  

y=4x+5y=4x+5  

y=4x+3y=\frac{4}{x}+3  

y=−2x+3y=-2x+3  

y=4x+13y=4x+\frac{1}{3}  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Eliminate the parameter
x=t−4, y=t+2x=\sqrt{t-4},\ y=\sqrt{t}+2

y=x+2y=x+2  

x=y−4x=y-4  

y=x+4y=x+4  

x=(y−2)2−4x=\sqrt{\left(y-2\right)^2-4}  

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Which set of parametric equations satisfies the given data table?

x(t) = t3 - 1
y(t) = 2t
x(t) = t3 - 1
y(t) = t + 2
x(t) = t + 8
y(t) = t + 2
x(t) = t + 8
y(t) = 2t

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Converting parametric equations to a rectangular equation is called _________________ the parameter.

eliminating
finding
converting
jumping

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