Consider the function f(x) = 2x + 6 and the graph of the function g shown below. The graph of g is the graph of f translated _ units _, and g(x) = _.

the options for 1st blank : 5, 6,1,4
2nd blank : up, down, left, right
3rd blank : f(x) + 4, f(x+1), f(x-5), f(x-1), f(x)-5, f(x+4)

Ok here we go ..there are plenty of ways to solve such math problems but we will go for the smartest and easiest ..5x+2y=7  -2x+6y=9we rearrange them into the following ..by multiplying the 1st equation by 2 it becomes 10x + 4y = 14we rearrange it and so it becomes 10x = 14 - 4yas for the second equation we multiply it by 5 and rearrange it so it becomes as to the following ..-10x + 30y = 45rearranging so 10x = 30y -45now 10x equals both 14 - 4y and 30y -45so   14 - 4y = 30y -4531 = 26yy= 31/26 = 1.19 or around 1.2so by now we can calculate x easily as  -2x+6y=9so 2x = 6y -9 = 6 * 31/26 - 9 = -1.84  then x = - 0.92 or around -0.9best luck!