Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k = ______
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k is the distance between the lines. Look at the y-intercepts. They are -2 for f(x) and 3 for g(x).
What's the distance between -2 and 3?
So for questions like this i just find the distance of the y intercept? @peachpi
It depends on the type of direction of the translation. For this one f(x) was below g(x), so if you move f(x) up by 5 units, then you get g(x).
If it had been the other way around where f(x) was the top line, then you'd have to move f(x) down by 5 units and k would have been -5.
And then there can be horizontal translations, for those you can look at the x-intercepts. For horizontal translations, they usually use h. So they would be something like g(x) = f(x -h)