PC- 6.4b Parametric Equations

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

• eliminating
• finding
• converting
• jumping

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

x = 1 - 2t

y =4t + 1

• (-5, 13)

• (13, -5)

• (5, 13)

• (13, 5)

Write the rectangular equation for the following parametric equations.

x = 4cosθ

y = 3sinθ^

• $\frac{x^2}{9}+\frac{y^2}{16}=1$

• $\frac{y^2}{9}+\frac{x^2}{16}=1$

• $\cos^2\theta+\sin^2\theta=1$

• $\frac{x^2}{9}-\frac{y^2}{16}=1$

Tags

CCSS.HSA.REI.C.8

The variable "t" is called a

• parameter

• parallel

• paralegal

• paradise

Tags

CCSS.6.EE.B.6

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

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 = t and y = 5t

• y=5x²

• y=5x

• y= x - 5

• y=x²

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 = 3/t

y = 6t + 1

• y = (18/x) + 1

• y = 18x + 1

• y = 19x

• y = 19/x