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Which of the following is a result of shifting a circle with equation (x + 3)2 + (y - 2)2 = 36 right 3 units?

A. The y-coordinate of the center of the circle decreases by 3.
B. The y-coordinate of the center of the circle increases by 3.
C. The x-coordinate of the center of the circle increases by 3.
D. Both the x- and y-coordinates of the center of the circle increase by 3.

Respuesta :

Answer:

Option C is correct that is the x-coordinate of the center of the circle increases by 3.

Step-by-step explanation:

The given equation is:

[tex](x+3)^2+(y-2)^2=36[/tex]

Since, the circle is shifted right 3 units

There, will be no change in y-axis because it is horizontal change.

So, Option A,B and D are discarded.

Therefore, Option C is correct that is the x-coordinate of the center of the circle increases by 3.

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