The graph of a function is translated up when a positive number is added to the y-value of the function of the graph
The correct option that illustrate the transformation that gives g(x) that has a y-intercept at 3, is the option;
D. g(x) = f(x) + 3
Reason:
Question: The graph of the function f(x) = -x, as an illustration is attached
The transformation of linear functions are:
f(x + h); A shift of h units left
f(x - h); A shift of h units right
f(x) + m; A shift of m units up
f(x) - m; A shift of m units down
Whereby the y-intercept of f(x) is 0, we have;
Let f(x) = -x, therefore;
g(x) = f(x) + 3 = -x + 3
The graph has to be shifted 3 places up to get g(x), therefore;
The function that gives g(x) from f(x) is the option;
D. g(x) = f(x) + 3
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