7.5 Pt 3-4 Parametric Equ- Write Rectangular and Graph

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.8.EE.C.8B

CCSS.HSA.REI.C.6

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.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What curve do the parametric equations make? What is the direction of motion?
x=1+3sint
y=-2+4cost

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the center and radius of the curve:
x=1+3cost
y=-2+3sint

• (-1,2) , r=3
• (-1,2) ,  r=9
• (1,-2) ,  r=3
• (1,-2) ,  r=9

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

• a circle
• an ellipse
• a hyperbolas
• parabola

Tags

CCSS.HSF-IF.C.7D

(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 parametric equations:
 $x=4\cos\theta$ 
  $y=3\sin\theta$  

• $\frac{x^2}{9}+\frac{y^2}{16}=1$

• $\frac{y^2}{9}+\frac{x^2}{16}=1$

• $\cos^2\theta+\sin^2\theta=1$

• $\frac{x^2}{9}-\frac{y^2}{16}=1$

What type of graph does the following parametrics equation show ?  $x=2+t,\ y=t^2$  

• Parabola

•  Line

• Ellipse

• Rational

• Circle
  

What is the coordinate for the following conditions? $x=2\sin2\theta,\ y=2\cos2\theta$  where  $\theta=\frac{3\pi}{8}$  

•  $\left(2\sqrt{2},\sqrt{2}\right)$  

•  $\left(e,1\right)$  

•  $\left(2,\frac{1}{3}\right)$  

•  $\left(\sqrt{2},-\sqrt{2}\right)$