SOLUTION: Graph the circle with center at (-1, -2), which also passes through the point (0, 2). Label the center and at least four points on the circle. Write the equation of the circle

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Question 947528: Graph the circle with center at (-1, -2), which also passes through the point (0, 2). Label the center and at least four points on the circle. Write the equation of the circle
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
r for radius






EQUATION:

The small blue curve mark is the location for the center point of the circle.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Graph the circle with center at (-1, -2), which also passes through the point (0, 2). Label the center and at least four points on the circle. Write the equation of the circle
Equation of a circle: 

With the point, (0, 2), and center coordinates, or (h, k) being: (- 1, - 2), we get: 









Thus, the equation becomes: . Squaring both sides results in: 

When plotting this graph, you'll notice that its center is at: (- 1, - 2), it has a radius of: ,

and one of its points is: (0, 2). This point is on its circumference, and will also be on the y-axis. 

Since y is 0 on the x-axis, substituting 0 for y will give you 2 more coordinate points: the x-intercepts. 

The 4th and final point is obtained by substituting 0 for x in the equation. This will give you the point (0, 2),

and another in the form of (0, y). 

You now have 4 points. 

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