Asked by Ryan
A circle with the equation (x + 3)2 + (y - 2)2 = 25 is reflected over the line x = 2.
What is the equation of the image?
Answers
Answered by
Damon
y does not change
x new = (2-x) + 2 = 4-x
x = 4-xnew
(4-xnew + 3)^2 - (y-2)^2 = 25
(-xnew +7)^2 - (y-2)^2 = 25
same as
(xnew-7)^2 - (y-2)^2 = 25
check
old center was at x = -3
that is 5 to the left of x = 2 line
5 to the right of the line is x = 7
sure enough
x new = (2-x) + 2 = 4-x
x = 4-xnew
(4-xnew + 3)^2 - (y-2)^2 = 25
(-xnew +7)^2 - (y-2)^2 = 25
same as
(xnew-7)^2 - (y-2)^2 = 25
check
old center was at x = -3
that is 5 to the left of x = 2 line
5 to the right of the line is x = 7
sure enough
Answered by
lol
nice lol
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.