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C. The x-coordinate of the center of the circle increases by 3.

Step-by-step explanation:

since the circle is shifted to the right then the change is on the x-axis.

the y-axis is not affected.

according to the formula the increase is on x-axis by 3 units.

The circle is centered at (5, −7) and has a radius of 7.

Step-by-step explanation:

The standard form of the equation of a circle with center (a,b) and radius r is given as:

The given equation is

We rewrite to look like the stay form:

We now compare the two equations to get:

a=5, b=-7 and r=7.

Therefore the circle is centered at (5,-7) and has a radius of 7