Answer:
equation for the new circle is;
(x - 8)² + y² = 36
Step-by-step explanation:
There are two types of translations and they are translation horizontally and vertically. Combining both of them in the context of this question, to translate a circle 6 units to the right and 4 units up, we take our equation,
(x - 2)² + (y + 4)² = 36 and subtract 6 from the x - term and 4 from the y - term to get the equation of the new circle.
This gives us;
(x - 2 - 6)² + (y + 4 - 4)² = 36
This gives;
(x - 8)² + y² = 36
