The graph of the function f (x) = 4x+7 was translated 2 units to the right and 6 units down, resulting in the graph of g (x). which function represents g (x) ?

A. g (x) = 2x+1

B. g (x) = 4x-7

C. g (x) = 4x+9

D. g (x) = 6x+1

Answer: D. g (x) = 6x+1

Step-by-step explanation:

Hi, since the function is:

f (x) = 4x+7

if we translate it 2 units to the right, it means that we are moving along the x-axis (positive)

F (x) = (4+2) x + 7

f (x) = 6x + 7

finally, for 6 units down we are moving along the y = axis (negative)

f (x) = 6x + (7-6)

f (x) = 6x + 1

Feel free to ask for more if needed or if you did not understand something.

The answer is g (x) = 6x+1 because when you go 2 to the right, since left and right is the x axis, you add 2 to the x. and 6 units down would be - 6 or minus 6. since up and down is the y axis, you subtract that from the y.