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Math·Geometry and Trigonometry·Circles

hard

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

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.