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Determine if the graph of the equation below is a parabola, circle, ellipse, hyperbola, point, line, two lines, or empty. Enter the most specific answer.

 

(x/2 - 3)^2 + (y/2 + 5)^2 = 10^2

 Nov 9, 2021
 #1
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This is of the form  X2 + Y2  =  R2  making it a circle.

 

Replacing  X  with  x/2 - 3  (or using any other constants for multiplying or dividing the x-term and adding or subtracting any constant from the x-term within the set of parentheses) does not change the form.

 

What can change the form is replacing the "+" sign with a "-" sign between the terms or multiplying or dividing the X2 and Y2 terms (outside the set of parentheses).

 Nov 9, 2021

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