Parametric Equations

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)

What ordered pair lies on the parametric equations when t = 3?

x = 1 - 2t

y =4t + 1

(a)  

The variable "t" is called a

• parameter

• parallel

• paralegal

• paradise

Eliminate the parameter.

x = t and y = 5t

• y=5x²

• y=5x

• y= x - 5

• y=x²

Eliminate the parameter. Convert the parametric equation to rectangular. x= t - 1 and y=t² - 2

• y=(x+1)² - 2
• t=x - 1
• x=t - 1
• y=t - 2

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

Tags

CCSS.6.EE.C.9

Write the rectangular equation for the following parametric equations.

x = 4 - t

y = 2t + 1

• y = 9 - 2x

• y = 9 + 2x

• y = 7--2x

• y = 9 + 2x

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

Write the rectangular equation for the following parametric equations.

x = 3/t

y = 6t + 1

• y = (18/x) + 1

• y = 18x + 1

• y = 19x

• y = 19/x

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