Conic sections circles and parabolas

What is the center and radius given the equation, 8x+x²-2y+y²-64=0?

• Center: (-4, 1), Radius: 9

• Center: (4,1), Radius: 9

• Center: (1,-4), Radius: 81

• Center: (-4, 1), Radius: 81

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

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

• 4
• 2
• 3
• 16

 $y\ =\ a\left(x\ -h\right)^2\ +\ k$   $x\ =\ a\left(x\ -k\right)^2\ +\ h$  
If a is positive, the parabola opens...

• up/right

• down/left

 $y^2-6y+8x=15$  

Given the equation of the parabola , where would the VERTEX be? 

• ( 3 , 3)

• (24, 3)

• ( - 24, 3)

• (-3, 3)

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1
• f(x) = (x + 2)² - 1
• f(x) = -(x + 2)² - 1
• f(x) = -(x - 2)² - 1

Which is the equation of the circle graphed below?

• (x - 3)² + (y + 4)² = 9

• (x - 3)² + (y + 4)² = 3

• (x)² + (y)² = 9

• (x - 1)² + (y + 1)² = 7

Identify the vertex.

• A

• B

• C

• D

Why are Conic Sections given this name?

• They are the cross-sections given when a cone is sliced.
• Because it's part of 'da rules'
• They are the cross-sections given when any 3D image is sliced.

Check the box that shows a parabola.

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