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2. From problem number 2, make the Graph !

PRACTICE

2
2
1. Find the center and radius of the circle using the equation (x + 3) + (y + 2) =
5.
2
2
2. Find the center and radius of the circle whose equation is x + y – 2x + 4y – 20
= 0
3. Find the equation of a parabola with the directrix of the line x = 5 and the vertex
at O(0,0)
4. Find the equation of a parabola with a vertex (2,-5) and p value = 3, the axis of
symmetry is parallel x axis.
5. Find the equation of an ellipse with center O(2,3), long axis 10 and length
short-axis 6.
2
6. Find the center, foci, vertices and directrix of the ellipse with the equation 9x
2
+ 25y – 54x + 50y – 119 = 0.
7. Given a hyperbola with the equation x2 4y2 + 2x 24y 31 = 0
Define
- Center coordinates
- The coordinates of the peaks
- Coordinates of the foci
- The equation of the asymptotes
- The directrix
- The sketch

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