Parametrics

Which half of the curve will be graphed for the parametric equation:
x=1+3cost
y=-2+4sint
π≤t≤2π

• Right half
• Left half
• Top half
• Bottom half

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.4

Which point represents (3, 3π/4)?

• F
• E
• B
• A

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

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.CED.A.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Calculate a rectangular equation (y=mx+b) for the parametric function
x = -2 + 2t
y = 2 - 1t

• y = -x +1
• y = -x + 2
• y = 1/2x +1
• y = -1/2x + 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

For each graph identify:

center

radius

A

B

• (-1, -2) A = 2 B = 3

• (1, 2) A = 3 B = 2

• (1, 2) A = 1 B = 2

Find the rectangular coordinates of each polar point. (-3, π/2)

• (0,-3)
• (3,0)
• (0,3)
• (0,1)

What variables are involved in parametric equations?

• x

• t

• z

• y

Mr. Salaam hits a baseball to Mr. Shakin at 3 ft above the ground with an initial speed of 150 ft/sec and at angle of 18 degrees with the horizontal.

Model the y component with a parametric equation.

• y = -16t²+(150 sin 18)t

• y = -16t²+(150 sin 3)t+18

• y = -16t²+(150 sin 18)t+3

• y = 16t²+(150 sin 3)+18

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

• A
• B
• C
• D

Convert the polar coordinates to rectangular form

• ( -3, 3)
• (3, 3√3)
• (-3, 3√3)
• (3, -3√3)