How does the graph of g(x) = x+ 4 compare with the graph of the parent
function, fx) = x?

It is moved 4 units up.

Step-by-step explanation:

If you have trouble visualizing it, there is an app i recommend, its call Desmos.

g(x) is a translation of f(x) up 4 units

Step-by-step explanation:

We see that the difference between g(x) and f(x) is that g(x) has an additional + 4.

According to transformations, we know that this will be a translation of some sort. Since the + 4 is to the entire function, we know that it is a vertical translation. And, since it is + 4 and not - 4, we know that this is a translation up 4 units.

Thus, g(x) is a translation of f(x) up 4 units.

Hope this helps!

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: