Given:
- Circle with centre $M (-5; 5)$
- The equation is $(x+5)^2 + (y-5)^2 = 50$
Suppose this figure is translated $6$ units to the right and $3$ units down. What is the new centre of the circle?
My attempt for the centre is $x + 6$ and $y - 3$, yielding $M (1; 2)$, but the answer in the textbook is $M (1; 5)$
Explain?
The equation implies the circle center at $(-5,5)$ indeed, which is your point $M$. Moving 6 right and 3 down should yield $$ (-5,5) + (6,-3) = (-5+6,5-3) = (1,2) $$
Could be a typo in the book?