Practice Problems
Determine the type of line and sketch them:
Click on the problem number to see the solution.
1. (x-2)2 + (y+5)2 = 16
2. x2 = 20y
3. x2/4 + y2 = 1
4. x2/4 – y2 = 1
5. x2 – 2y2 – 2 = 0
6. x2 – 2y = 0
7. x2 + 2y2 – 4 = 0
8. x2 – 4x + y = 0
Solutions:
1.
2. x2 = 20y PARABOLA: p = 5.
3. x2/4 + y2 = 1 ELLIPSE: a = 2, b = 1
4. x2/4 – y2 = 1 HYPERBOLA: a = 2, b = 1
5. x2 – 2y2 – 2 = 0 HYPERBOLA: a = 1.414, b = 1
6. x2 – 2y = 0 PARABOLA: p = 1/2
7. x2 + 2y2 – 4 = 0 ELLIPSE: a = 2, b = 1.414
8. x2 – 4x + y = 0 CIRCLE: Center at (2,0). Radius of 2.
