Graph the following equation. $$x ^ { 2 } - 8 x + y ^ { 2 } = 0$$

Name: Graph the following equation. \[x ^ { 2 } - 8 x + y ^ { 2 } = 0\]
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Question

Quizplus · Accepted Answer

Rewrite the given equation as $x^2-8x=-y^2$. Completing the square on the left-hand side gives $(x-4)^2=16+y^2$. This is the equation of a circle with center $(4,0)$ and radius 4. Therefore, the graph of the equation is a circle centered at $(4,0)$ with a radius of 4. Comparing the given choices, only option B represents a circle with center $(4,0)$ and radius 4.

Graph the Following Equation x2−8x+y2=0x ^ { 2 } - 8 x + y ^ { 2 } = 0x2−8x+y2=0

Graph the Following Equation $x ^ { 2 } - 8 x + y ^ { 2 } = 0$