FINDING EQUATION OF CONIC SECTIONS GIVEN INFORMATION WORKSHEET

Write the equation of the conic section using the information given. You may want to use the graph to help you.

Problem 1 :

Circle with center (4, -1) and point on the circle (2, -4).

Solution

Problem 2 :

Hyperbola with vertices (6, -4) and (6, 4) and foci (6, -6) and (6, 6).

Solution

Problem 3 :

Ellipse with vertices (-5, 1) and (-1, 1) and co-vertices (-3, 2) and (-3, 0)

Solution

Problem 4 :

Parabola with vertex (-1, -2) and focus (4, -2).

Solution

1)  (x - 4)² + (y + 1)² = 13

2)  [y² / 16]  - (x - 6)² / 20 = 1

3)  (x + 3)² / 4 + (y - 1)² = 1

4)  (x + 1)² = 20(y + 2)