Question

The graph of g(x) is f(x) translated to the left 8 units and up 2 units. What is the function rule for g(x) given f(x) = x²?

Answer 1

When you move a graph to the right by "a" units, the x on the right hand side of the function should be replaced with (x-a)
If you move a graph up by "b" units, you should add "b" to the right hand side of the function.

Answer 2

Moving to the left or down follows similar pattern:
When you move a graph to the Left by "a" units, the x on the right hand side of the function should be replaced with (x+a) If you move a graph down by "b" units, you should subtract "b" from the right hand side of the function.

Answer 3

(x-+8)² + 2
(x-8²) + 2
So like that?

Answer 4

g(x) = (x - (-8))^2 + 2
g(x) = (x + 8)^2 + 2

Answer 5

Is that there is all to it? that was easy ^-^

Answer 6

yes, that is all they are asking for here.

Answer 7

Thanks for helping me!

Answer 8

you are welcome.