# CLASSIFYING CONIC SECTION BY EQUATIONS WORKSHEET

Classify each conic section.

Problem 1 :

x2 + y2 = 30

Solution

Problem 2 :

x2 + y2 = 36

Solution

Problem 3 :

Solution

Problem 4 :

x = y2

Solution

Problem 5 :

x = (y + 4)2 - 2

Solution

Problem 6 :

Solution

Problem 7 :

y = (x - 1)2 + 3

Solution

Problem 8 :

Solution

Classify each conic section and write its equation in standard form.

Problem 9 :

-x2 + 10x + y - 21 = 0

Solution

Problem 10 :

-2y2 + x - 20y - 49 = 0

Solution

1)  Center is (0, 0) and radius is √30.

2)  Center is (0, 0) and radius is 6

3)  It is the equation of ellipse and it is symmetric about y-axis.

4)  parabola

5)   parabola.

6)   hyperbola.

7)  parabola.

8)  Ellipse

9)  Parabola

10) Parabola

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