Which of the following circles have their centers on the x-axis? check all that apply.

Option A and Option D

Step-by-step explanation:

By definition the general equation of a circle has the following form

Where r is the radius and the point (h, k) is the center of the circle

All points that are on the x axis have the following form:

(h, 0)

Therefore all the circles that have their centers on the x axis will have a value of k = 0.

Identify among the options all those equations that have a value of k = 0

The circles that have their center on the x axis are option A and option D

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.