A circle is a curve sketched out by a point moving in a plane. The correct option is A.
<h3>What is a circle?</h3>
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
The complete question is:
Which of the following is a result of shifting a circle with equations (x - 1)² + (y - 4)² = 16, to the right 4 units?
A. The x-coordinate of the center of the circle increases by 4.
B. Both the x and y-coordinates of the center of the circle decrease by 4.
C. The y-coordinate of the center of the circle increases by 4.
D. Both the x- and y-coordinates of the center of the circle increase by 4.
If a circle is shifted 4 units to the right, then the x-coordinate of the center of the circle will change, therefore, the x-coordinate of the center of the circle will increase by 4 units.
Hence, the correct option is A.
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