Unit 9 Exam Review Parametric Equations

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

• eliminating

• finding

• converting

• jumping

Eliminate the parameter from x(t) = t² + 5 and y(t) = t² - 4. Which of the following sketches results?

• Linear

• Quadratic

• Quartic

• Square Root

Find the point based on the parametric equations. t = 3

x = 1 - 2t

y =4t + 1

• (-5, 13)

• (13, -5)

• (5, 13)

• (13, 5)

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)

Write the rectangular equation for the following parametric equations.

x = 4cosθ

y = 3sinθ^

The variable "t" is called a

• parameter

• parallel

• paralegal

• paradise

What is the center and radius of the curve:
x=1+3cost
y=-2+3sint

• (-1,2) , r=3

• (-1,2) ,  r=9

• (1,-2) ,  r=3

• (1,-2) ,  r=9

Sketch the curve of x(t) = 2t + 1 and y(t) = t² + 2.

• A

• B

• C

• D

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

• y = 4x²  + 3

• y = ¼ x² + 3

• y = 4t² + 12

• y = (x - 2)² + 3

The horizontal distance a projectile travels is represented by

• x

• y

• t