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.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

b. b < 1 might be the correct answer