Unit 12 Review - 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

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.REI.C.7

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Eliminate the parameter from $x(t)=t^2+5$  and  $y(t)=t^2-4$ . Which of the following graphs results?

• Linear

• Quadratic

• Quartic

• Square Root

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.A.2

CCSS.HSA.SSE.B.3

What curve do the parametric equations make? What is the direction of motion?
x=1+3cost
y=-2+3sint

• Circle. Counterclockwise.
• Circle. Clockwise.
• Ellipse. Counterclockwise.
• Ellipse. Clockwise.

What type of graph is the following parametric equations? $x=4-\sqrt{t},\ y=\sqrt{t}$  

• line

• parabola

• ellipse

• hyperbola

• square root

(y-4)² = -8(x+1)
What direction does this parabola open?

• up
• down
• left
• right

Tags

CCSS.HSF-IF.C.7A

Write the rectangular equation for the following parametric equations.

x = 4cosθ

y = 3sinθ^

• (x²/9) + (y²/16) = 1

• (y²/9) + (x²/16) = 1

• cos²θ + sin²θ =1

• (x²/9) - (y²/16) = 1

What type of graph is the following parametric equations? $x=-2\sin\theta,\ y=-3\cos\theta$  

• line

• parabola

• ellipse

• hyperbola

• square root