Parametric Equations

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

• eliminating

• finding

• converting

• jumping

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^

• $\frac{x^2}{9}+\frac{y^2}{16}=1$

• $\frac{y^2}{9}+\frac{x^2}{16}=1$

• $\cos^2\theta+\sin^2\theta=1$

• $\frac{x^2}{9}-\frac{y^2}{16}=1$

The variable "t" is called a

• parameter

• parallel

• paralegal

• paradise

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

• A

• B

• C

• D

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

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

Eliminate the parameter.

x= 2+4t and y=-1+6t

• y=(3/2)x - 4

• t=(x-2)/4

• y=x - 4

• y= (2/3)x + 4

Write the rectangular equation for the following parametric equations.

x = 2t - 3

y = 2t + 1

• y = x + 4

• y = x + 7

• y = x - 2

• y = mx+ b

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

• Linear

• Quadratic

• Quartic

• Square Root