9.1 - 9.4 Conics and Parametric Equations Review

Identify the center and radius of the circle (x-4)² + (y+2)² = 36

• Center: (-4, 2)

  Radius: 36

• Center: (-4, -2)

  Radius: 6

• Center: (4, -2)

  Radius: 6

• Center: (4, 2)

  Radius: 36

Which of the following is the standard form equation of a circle with center (5, 0) that passes through the point (2, -3)

• (x - 5)² + y² = 18

• (x + 5)² + y² = 58

• (x - 2)² + (y + 3)² = 25

• (x - 2)² + (y + 3)² = 18

Change the following equation to standard form

6x²+6y²-24x+72y-48=0

• (x+2)²+(y-6)²=48

• (x-2)²+(y+6)²=48

• (x-6)²+(y-2)²=48

• (x+2)²+(y-6)²=48

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

• up
• down
• left
• right

What is the directrix of the parabola
(x - 4)² = 8(y + 3)?

• y = - 3
• x= 5
• y= - 5
• y= 2

The focus is always inside the parabola.

• true
• false

What is the focus of the following parabola?
(y + 5)² = -12 (x - 2)

• (2, - 5)
• ( -5, 2)
• (1 , -5 )
• (-1, -5 )

Given this directrix and vertex, what would the equation of the parabola be?

• (y-2)² = 12(x-1)
• (y-2)² = 6(x-1)
• (x-1)² = 12(y-2)
• (x-1)² = 6(y-2)

Given the equation of the parabola, where would the VERTEX be? (put in standard form)

• ( 3 , 3)
• (24, 3)
• ( - 24, 3)
• (-3, 3)

Which is the equation to find c on an ellipse?

• c² = a² + b²
• c² = a² - b²
• 1/4d
• (x-h)² + (y-k)² = r²