Conics and Polar

What is the equation of the circle?

• (x+1)² + (y +1)² = 3

• (x+1)² + (y -1)² = 3

• (x+1)² + (y +1)² = 9

• (x-1)² + (y -1)² = 9

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle with a radius of 3 and a center of (4, 2).

• ( x - 4)² + (y - 2)² = -9

• ( x - 2)² + (y - 2)² = 9

• ( x - 4)² + (y - 2)² = 9

• ( x + 4)² + (y + 2)² = 16

Tags

CCSS.HSG.GPE.A.1

What type of conic is this?

4(x - 2)² + 16(y + 1)² = 256

• Hyperboal

• Circle

• Ellipse

• Parabola

Identify the center and the length of a and b.

• C: (0,4)  a= 25, b=4

• C: (0,0)  a= 4, b=25

• C: (0,5)  a= 2, b=5

• C: (0,0)  a= 5, b=2

Tags

CCSS.HSG.GPE.A.1

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?

• a = 10 , b = 6

• a = 6 , b = 10

• a = 36 , b = 100

• a = 100 , b = 36

Tags

CCSS.HSG.GPE.A.1

Which equation represents the polar graph?

• r = sin 4θ

• r = 6 sin 2θ

• r = 6 cos 4θ

• r = cos 4θ

Which equation represents the polar graph?

• r = 6 + 6 sin θ

• r = 12 sin θ

• r = 4 - 3 sin θ

• r = 4 + 5 sin θ

Determine the polar equation of the given graph.

• r² = -9sin(2θ)

• r² = 9cos(2θ)

• r² = -9cos(2θ)

• r² = 9sin(2θ)

Identify the polar equation:
r=1+sinθ

• cardioid

• circle

• limacon with inner loop

• spiral

Which point represents (2, π/6)

• F

• E

• B

• A

Tags

CCSS.HSN.CN.B.4