Parametric Equations

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)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

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)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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

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

Tags

CCSS.HSA.REI.C.8

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.HSA.CED.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Eliminate the parameter.

x = t and y = 5t

• y=5x²

• y=5x

• y= x - 5

• y=x²

Tags

CCSS.HSF-BF.B.4A

Eliminate the parameter.

x= √t and y=5t

• y=5x²

• y=5x

• y= x - 5

• y=x²

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Find the ordered pair based on the parametric equations when t=0

x(t) = e^t - e^-t

y(t) = e^t + e^-t

• (0, 2)

• (2.35, 3.08)

• (7.25, 7.52)

• (0, 0)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

•  $y=4x^2+3$  

•  $y=\frac{1}{4}x^2+3$  

•  $y=4t^2+12$  

•  $y=(x-2)^2+3$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

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

•  $y=4x+5$  

•  $y=\frac{4}{x}+3$  

•  $y=-2x+3$  

•  $y=4x+\frac{1}{3}$  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.B.3