Desmos Graphing Calculator

CalcReferenceCopy

Math·Geometry and Trigonometry·Circles

medium

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: $(x-9{)}^2+(y-p{)}^2=24$
Circle B: $(x+9{)}^2+(y-p{)}^2=24$

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 18 units to the right.

D

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