
Joseph Anderson
FREE Resource
4 Slides • 7 Questions
1
Conics Review
Circles, Ellipses, Hyperbolas and Parabolas

2
Circles
The circle equation requires us to know 2 things:
The center (h,k)
The radius R
If we know the center and radius, the equation is: (x−h)2+(y−k)2=R2
3
Multiple Select
Which of the following are circles?
(x−2)2+(y−1)2=1
x2+y2=16
(x−4)2−(y+3)2=1
4(x−5)2+4(y+2)2=1
4
Multiple Choice
(x+1)2+(y−5)2=25 What are the center and radius of the following circle?
center = (1, -5)
radius = 25
center = (-1, 5)
radius = 25
center = (1, 25)
radius = 25
center = (-1, 5)
radius = 5
5
Multiple Choice
What are the center and radius of the following circle?
center = (-2, 2)
radius = 4
center = (-2, -2)
radius = 2
center = (-2, 2)
radius = 2
6
Multiple Choice
What is the equation of the following circle?
7
Ellipses
We need to know 3 things to graph and ellipse
The center (h,k)
How long the major axis a is.
How long the minor axis b is.
Then the equation is written either as:
a2(x−h)2+b2(y−k)2=1 OR
b2(x−h)2+a2(y−k)2=1
8
Focus
The focus for an ellipse is c away from the center, where we can find "c" by using the formula:
c2=a2−b2
9
Fill in the Blanks
Type answer...
10
Multiple Choice
Which of the following equations represents the ellipse graphed to the left?
9(x−1)2+4(y−3)2=1
4(x−1)2+9(y−3)2=1
4(x+2)2+9(y+3)2=1
11
Multiple Select
Which of the following equations represents an ellipse?
4(x+1)2+9(y−2)2=1
25x2+9y2=1
(x+1)2+4(y−2)2=16
4(x−3)2−9(y+2)2=1
Conics Review
Circles, Ellipses, Hyperbolas and Parabolas

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