Unit 7 Practice Polar and Parametric

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

• A

• B

• C

• D

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

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

• a circle
• an ellipse
• a hyperbolas
• parabola

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Covert the rectangular equation to polar form  $x^2+y^2=9$  

• r² = 81

• r = 3

• r = 4.5

• r sin θ = 9

Covert the rectangular equation to polar form  $x=4$  

• r sin θ = 4

• r = 4 csc θ

• r = sec θ ∕ 4

• r = 4 sec θ

Convert the polar equation to rectangular form

• x = 2 cos θ
• x = 2
• y = 2
• x² + y² = 2

Convert the polar equation to rectangular form

• y = x
• x = 0
• y = 0
• tan θ = 0

Convert from a polar to a rectangular equation:

• x² + y² = 64

• x² – y² = 64

• y = √(64 - x²)

• y = - √(64 - x²)

Convert from a polar to a rectangular equation:

• y = 8

• y = - 8

• x = 8

• x = -8