Parametric Equations Quiz #1

The variable "t" is called a

• parameter

• parallel

• paralegal

• paradise

Tags

CCSS.6.EE.B.6

Which t-step will graph the slowest?

• 1
• .1
• .01
• .001

Tags

CCSS.HSF-IF.C.7E

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.REI.D.10

CCSS.HSA.SSE.A.1

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.REI.D.10

CCSS.HSA.CED.A.2

Eliminate the parameter. Convert the parametric equation to rectangular. 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.REI.D.10

CCSS.HSA.CED.A.2

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

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

• A
• B
• C
• D

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

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+3cost
y=-2+3sint

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

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

Tags

CCSS.HSG.GPE.A.1

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