Identifying & Properties of Conic Sections

Identify the conic section with the equation x^2 + y^2 = 25.

• ellipse

• hyperbola

• circle

• parabola

Tags

CCSS.HSG.GPE.A.1

What type of conic section is represented by the equation y = 3x^2?

• Circle

• Parabola

• Ellipse

• Hyperbola

Given the equation 4x^2 - 9y^2 = 36, determine the type of conic section.

• ellipse

• circle

• hyperbola

• parabola

Find the center and radius of the circle with the equation (x-2)^2 + (y+3)^2 = 16.

• (2, -3), 4

• (2, -5), 6

• (4, -3), 2

• (0, -3), 4

Tags

CCSS.HSG.GPE.A.1

Identify the conic section represented by the equation x^2 - 4x - y^2 + 6y = 12.

• Circle

• Parabola

• Hyperbola

• Ellipse

What are the foci of the ellipse with the equation 4x^2 + 9y^2 = 36?

• (±sqrt(5), 0)

• (±sqrt(7), 0)

• (0, ±sqrt(5))

• (±sqrt(3), 0)

Tags

CCSS.HSG.GPE.A.1

Determine the type of conic section with the equation y^2 = 16x.

• Parabola

• Ellipse

• Hyperbola

• Circle

Find the eccentricity of the hyperbola with the equation x^2/9 - y^2/4 = 1.

• sqrt(5)

• sqrt(17)

• sqrt(13)

• sqrt(21)

Tags

CCSS.8.G.B.8

Identify the conic section represented by the equation 3x^2 + 4y^2 - 12x + 16y = 0.

• Ellipse

• Circle

• Hyperbola

• Parabola

Given the equation x^2 - 2x + y^2 + 4y = 4, find the center and radius of the conic section.

• Center: (1, -4), Radius: 5

• Center: (1, -2), Radius: 3

• Center: (2, -2), Radius: 4

• Center: (0, -2), Radius: 2

Tags

CCSS.HSG.GPE.A.1