In the given equations, \(p\) is a positive constant. Which statement…

|Question 3Math

Question

Prompt

In the given equations,

p

is a positive constant. Which statement correctly compares the graphs of circles A and B in the

x y

-plane?

Circle A:

(x - 9)^{2} + (y - p)^{2} = 24

Circle B:

(x + 9)^{2} + (y - p)^{2} = 24

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

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

Circle B is the translation of circle A 18 units to the right.

Circle B is the translation of circle A 18 units up.