Parametric equations

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

• eliminating
• finding
• converting
• jumping

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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

• Linear
• Quadratic
• Quartic
• Square Root

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Find the point 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.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

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

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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.A.2

CCSS.HSA.SSE.B.3

The parametric equation x = 3cos(t), y = 3sin(t) is a ..

• a circle
• an ellipse
• a hyperbolas
• parabola

Tags

CCSS.HSF-IF.C.7D

Determine an appropriate set of parametric equations and window for the rectangular equation  $y=\left|2x+3\right|,\ 0\le x\le4$  

•  $x=\frac{t}{2},\ y=\left|t+\ 3\right|,\ 0\le t\le8$  

•  $x=\frac{t}{2},\ y=\left|t+3\right|,\ 0\le t\le2$  

•  $x=t,\ y=\left|t+3\right|,\ 0\le t\le4$  

•  $x=2t,\ y\ =\left|\frac{t}{2}+3\right|,\ 0\ \le t\le2$  

Determine an appropriate set of parametric equations for the rectangular equation  $y=2x^3-5,\ -1\le x\le3$  

•  $x=t^3,\ y=2t-5,\ 1\le t\le8$  

•  $x=t^{\frac{1}{3}},\ y\ =2t-5,\ -1\le t\le8$  

•  $x=\left(\frac{t}{2}\right)^{\frac{1}{3}},\ y=2t-5,\ -1\le t\le8$  

•  $x=\left(\frac{t}{2}\right)^{\frac{1}{3}},\ y\ =t-5,\ -1\le t\le2$