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QUESTION

# How do you graph the circle with center at (-4, 2) and radius 5 and label the center and at least four points on the circle, then write the equation of the circle?

By using the center-radius form. The center is C at (h,k) meaning h = -4 and k = 2. The equation will be (x - h)^2 + (y - k)^2 = r^2 That translates to: (x + 4)^2 + (y - 2)^2 = 25 Expanding, we get x^2 + 8x + 16 + y^2 - 4y + 4 = 25 or x^2 + 8x + y^2 - 4y - 5 = 0

For the graphing part, locate the center (-4,2). Open your compass 5 units to any direction, then make a circle. It should pass the following points (along with infinitely many other points): (-4 + 5, 2) -> (1,2) (-4 - 5,2) -> (-9, 2) (-4, 2 + 5) -> (-4, 7) (-4, 2 - 5) -> (-4, -3)