Which steps will translate f(x) = 3x to g(x) = 3x 1 4? shift f(x) = 3x one unit up and four units to the right. shift f(x) = 3x one unit up and four units to the left. shift f(x) = 3x one unit to the right and four units up. shift f(x) = 3x one unit to the left and four units up

The expression for g(x) is wrong, you skipped some signs and, apparentely, some parentheses. The rigtht expression for g(x) should be g(x) = 3(x+1) + 4. Note that g(x) = 3(x+1) + 4 it is the same that f(x+1) + 4. When you add a number to the argument, the graph of function is shifted that number of units to the left; and when you add a number to the function the graph shifts that number of units up. Therefore, the steps that will translate f(x) = 3x to g(x) = 3(x+1) + 4 is shift f(x) one unit to the left and four units up.

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