Step 1 first get the constant on one side by itself

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Unformatted text preview: hat they must be a distance of r from the center. Therefore the points will have the following coordinates. right most point : ( h + r , k ) left most point : ( h - r , k ) top most point : ( h, k + r ) bottom most point : ( h, k - r ) In other words all we need to do is add r on to the x coordinate or y coordinate of the point to get the right most or top most point respectively and subtract r from the x coordinate or y coordinate to get the left most or bottom most points. Let’s graph some circles. Example 2 Determine the center and radius of each of the following circles and sketch the graph of the circle. (a) x 2 + y 2 = 1 [Solution] (b) x 2 + ( y - 3) = 4 [Solution] 2 (c) ( x - 1) + ( y + 4 ) = 16 [Solution] 2 2 Solution In all of these all that we really need to do is compare the equation to the standard form and identify the radius and center. Once that is done find the four points talked about above and sketch in the circle. (a) x 2 + y 2 = 1 In this case it’s just x and y squared by themselves. The only way th...
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