Question

Austin wants to sketch the graph of a circle represented by the given equation.

(x + 3)2 + (y - 5)2 = 36

Using complete sentences, describe the steps used to sketch the circle on a coordinate grid.

Answer 1

(x + 3)^2 + (y - 5)^2 = 36
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1. Write the equation in the form (x - (-3))^2 + (y + (-5))^2 = 6^2
2. Obtain the center (-3, 5) and radius 6.
3. Mark the point (-3, 5) on the coordinate axis.
4. Calculate and plot the points around the center using given radius 6.
5. Draw a circle through the points plotted at distance 6 from the center.