CLASSIFYING CONIC SECTION AND WRITE IN STANDARD FORM WORKSHEET

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

Problem 1 :

25x² + 9y² - 36y - 189 = 0

Problem 2 :

-2x² + 20x + y - 44 = 0

Problem 3 :

-y² + 2x + 2y + 3 = 0

Problem 4 :

16x² + 9y² - 16x + 18y - 131 = 0

Problem 5 :

x² + y² - 8x + 8y + 31 = 0

Problem 6 :

2x² + 2y² - 14x - 2y + 7 = 0

Answer Key

1) Ellipse.

2) It is parabola. It is symmetric about y-axis.

3) It is parabola. It is symmetric about x-axis.

4) ellipse is symmetric about y-axis.

5) circle with center (4, -4).

6) circle with the center (7/2, 1/2)