How Do You Graph The Circle With Center At 4 2 And Radius 5 And Label The Cente

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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)##

 
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