Final answer:
To shift the equation x² + y² = 25 three units to the right, the x-coordinate of each point on the graph needs to be increased by 3. To shift the equation two units down, the y-coordinate of each point on the graph needs to be decreased by 2.
Step-by-step explanation:
To shift the equation x² + y² = 25 three units to the right, the x-coordinate of each point on the graph needs to be increased by 3. So the equation becomes (x - 3)² + y² = 25.
To shift the equation two units down, the y-coordinate of each point on the graph needs to be decreased by 2. So the equation becomes (x - 3)² + (y - 2)² = 25.