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Math·Geometry and Trigonometry·Circles

hard

Circle A: $$(x-7{)}^2+(y-p{)}^2=21$$Circle B: $$(x+7{)}^2+(y-p{)}^2=21$$In the given equations, $p$ is a positive constant. Which statement correctly compares the graphs of circles A and B in the xy-plane?

A

Circle B is the reflection of circle A across the x-axis.

B

Circle B is the reflection of circle A across the y-axis.

C

Circle B is the translation of circle A 14 units up.

D

Circle B is the translation of circle A 14 units to the right.