Conics

Which conic is given by (x-4)² = 8(y - 3)?

• Hyperbola
• Ellipse
• Circle
• Parabola

Find the equation of the figure shown.

• (x-5)² + (y-3)² = 25
• (x+5)²/4 + (y+3)²/9 = 1
• (x-5)²/2 + (y-3)²/3 = 1
• (x-5)²/4 + (y-3)²/9 = 1

Which conic's equation has only 1 squared term?

• Parabola
• Circle
• Ellipse
• Hyperbola

Find the ordered pairs of the vertices of the conic pictured.

• (-4, -4) and (6, -4)

• (4, 4) and (-6, 4)

• (-1, 6) and (-1, 2)

• (1, 6) and (1, 2)

(y-4)² = -8(x+1)
What direction does this parabola open?

• up
• down
• left
• right

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write the equation of a circle with center (7, 0) with radius 3. 

• (x - 7)² + y² = 9
• x² + (y -7)² = 9
• (x - 7)² + y² = 3
• x² + (y -7)² = 3

EXTRA CREDIT! What number would go in the blank?

• -2

• -4

• -8

• -16

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

• a

• b

• c

• d

Identify all the following that are true:

• This is a vertical ellipse

• This is a horizontal ellipse

• The foci are at (-13, 10) and (7, 10)

• The center is at (3, -10)

• The b value is 5