Answer: g(x) = f(x) + 9
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Explanation:
Replace f(x) with y. This is valid because both represent outputs of a function. This means f(x) + 9 is the same as y+9, which means "move every point up 9 units".
For instance, the point (1,1) turns into (1,10) after moving it up 9 units. Here we added 9 to the y coordinate while keeping the x coordinate the same. You can write the translation rule as [tex](x,y) \to (x, y+9)[/tex]
