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Graph each circle. Identify the center if it is not at the origin.$$x^{2}+y^{2}-4 x-6 y+9=0$$
center: (2,3)
Precalculus
Algebra
Chapter 13
Nonlinear Functions, Conic Sections, and Nonlinear Systems
Section 2
The Circle and the Ellipse
Introduction to Conic Sections
An Introduction to Geometry
Functions
Systems of Equations and Inequalities
Missouri State University
McMaster University
University of Michigan - Ann Arbor
Lectures
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Graph each circle. Identif…
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way Have the equation X squared plus y squared minus four X minus six y plus nine equals zero. Let's get this in standard form. Let's group are exes together are wise together. Subtract the nine to both sides and complete the square. So we're gonna take half negative for executive to square it. We're gonna have portable sides happen times negative six is negative three square it to give nines or at nine to both sides. And therefore we can write this as X minus two squared plus y minus three squared equals four, which means the center is asked to three and the radius is two because two squared is for so 23 Identify that point as your center and they want to go two units above, which is at 252 units to the right, which is that for three two units below, which is at 21 and two unis to the left, which is at 03 Do your best to make a steam circle
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