Given f(x)=2x+1 find the value of k so that the graph is f(x)+k

The value of k will be positive for a graph with a y-intercept larger than 2,

and k will be negative for a graph having a y-intercept lesser than 2.

Reasons:

The transformation of a function addition of a constant value, k, to the y-

value, move the graph of the function k-units up if k is positive, and k-units

down if k is negative;

The given function f(x) = 2·x + 1

The graph of the function f(x) + k, where k = 5 we get;

Graph of function = f(x) + 5, which gives;

Where, k is negative, and k = -3 for example, we get;

Graph of function = f(x) - 3, which gives;

Therefore, the value of k is positive if the graph is lifted higher than the f(x)

and the value of k is negative if the graph is shifted downwards.

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