Question

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 1

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.

Answer 2

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

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.