Graphing Conics

Identify the conic:
25x² + 5y² + 6x + 4y +2 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola

Which is the equation of a circle with center (2, 1) that passes through (2, 4)?

• (x – 2)² + (y – 1)² = 9

• (x – 2)² + (y – 1)² = 3

• (x + 2)² + (y + 1)² = 9

• (x + 2)² + (y + 1)² = 3

Coordinates of the center?

• (0 , 0)

• (5 , 9)

• (9 , 5)

• (81 , 25)

Find the foci of this ellipse?

• (8, -1), (0, -1)

• (4±√7, -1)

• (4, 3), (4, -5)

• (4, -1)

What is the vertex of the parabola?

• (3, -1)

• (3, 1)

• (-1, -3)

• (1, 3)

Name the conic section and determine the vertices.9x² - 4y² - 54x-16y - 79 = 0

• hyperbola; (3, 4), (3, -8)

• hyperbola; (7, -2), (-1, -2)

• hyperbola; (9,  -2), (-3, -2)

• hyperbola; (3, 2), (3, -6)

Which conic's equation has only 1 squared term?

• Parabola

• Circle

• Ellipse

• Hyperbola

• Vertical Ellipse
• Vertical Hyperbola
• Horizontal Ellipse
• Horizontal Hyperbola

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

Which type of conic section is this equation?

• circle

• ellipse

• hyperbola

• parabola