Question

A circle with the equation (x + 6)2 + (y + 3)2 = 16 is reflected over the line x = 2.

What is the equation of the image?

( x + 10) 2 + ( y + 3) 2 = 16
( x - 10) 2 + ( y + 3) 2 = 16
( x + 6) 2 + ( y + 7) 2 = 16
( x + 6) 2 + ( y - 7) 2 = 16

Answer 1

Answer:
`(x-10)^(2)+(y+3)^(2)=16`

Explanation:

We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).

Thus, the equation of the circle is
`(x-10)^(2)+(y+3)^(2)=16`.