What is the equation for the translation of x2 + y2 = 25 two units to the left and four units down? (x – 2)2 + (y – 4)2 = 25 (x – 2)2 + (y + 4)2 = 25 (x + 2)2 + (y + 4)2 = 25 (x + 2)2 + (y – 4)2 = 25 description?

D.

Step-by-step explanation:

We have been given an equation . We are asked to find the equation after a translation of two units to the left and four units down.

We know that translation of two units to the left is horizontal shifting, so we need to shift the x-coordinate to left by 2 units as:

Since the translation by four units down refers to vertical shifting, so we will shift the y-coordinates of our given equation upwards by 4 units as:

Therefore, option D is the correct choice.

step-by-step explanation:

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