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11 January, 23:34

Let f (x) = -3x+2. Write a function g whose graph is a translation 1 unit up from the graph of f.

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  1. 12 January, 02:13
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    To move the graph up, we need to change the part of the function that dictates the y-intercept.

    In this function, which is displayed in slope intercept form, we can tell what each part of the function dictates:

    F (x) = mx + b

    mx = slope

    b = y-intercept

    In the function f (x) = - 3x + 2, we can shift the entire line up 1 unit by changing the y-intercept from 2 to 3.

    Your new function is f (x) = - 3x + 3
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