Algebra 2
Write your questions and
thoughts here!
11.4 Classify Conics Name:_______________________ 1
Standard Form Equations of Conics Circle Horizontal Axis (left/right) Parabola Ellipse Vertical Axis Hyperbola ,
is the vertex for a parabola, and the center for the other conics. RECALL: Completing the Square Complete the square of each binomial, then write it as a “binomial squared”. 10
______ 2. 4
16
______ 3. 3
15
______ 1. Write your questions and
thoughts here!
11.4 Classify Conics Write the equation in standard form, then classify each conic section. 4. 9
4
54
86 0 5. 6
4
33 0 6. 4
9
8
90
183
10 7. 4
2 10 Algebra Skillz: Multiply. Solve by factoring. 2 3 1. Graph √
4.
4
16
0 2. 4 √3 4 √3 4 0 5. 14
3. √
2 √
3 2
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ID: 1
Algebra 2
Name___________________________________
11.4 Practice - Classify Conics
Period____
JqZ
Classify each conic section and write its equation in standard form.
1)  x   x y
2) x   y   x
3) x   y   x y
4)  x   y   x y
5)  y   x y
6)  x   y   x y
7)  x   y   x y
8)  x   y   x y
Worksheet by Kuta Software LLC
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U
9)  x   y   x y
10) x   y   x y
11)  x   y   y
12)  x   y   x y
13) x   x y
14)  y   x y
15)  x   y   x y
16) x   y   y
17)  x   x y
18) x   y   y
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Worksheet by Kuta Software LLC
11.4 Application and Extension
1. Whisper Dishes are two parabolic dishes set up facing directly toward each other. A person listening at the focus of one dish is able to hear even the softest sound made at the focus of the other dish. Two dishes are positioned so that their vertices are 50 feet apart. The focus of each dish is 3 feet from its vertex. Write equations for the cross sections of the dishes so that the vertex of one dish is at the origin and the vertex of the other dish is on the positive x‐axis. Write the equation of each under their corresponding graph. 2. A Gregorian telescope contains two mirrors whose cross sections can be modeled by the equations 405
729
295,245 0 and 120
1440
0. What types of mirrors are each? SAT Prep:
1. 2. The midpoint between , 2 and 5, 6 is , 2 . What is the value for ?