Graph x^2+y^2=9

Problem

x2+y2=9

Solution

1. Identify the type of equation by comparing it to the standard form of a circle centered at the origin (h,k)=(0,0) which is x2+y2=r2

2. Determine the radius by taking the square root of the constant on the right side of the equation.

r2=9

√(,r2)=√(,9)

r=3

3. Locate the center of the circle at the origin (0,0) on the Cartesian plane.

4. Plot the four key points by moving 3 units in each cardinal direction from the center: (3,0) (−3,0) (0,3) and (0,−3)

5. Sketch a smooth curve connecting these points to form a circle with a radius of 3

Final Answer

x2+y2=9* is a circle centered at *(0,0)* with radius *3

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