Question

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.

Answer 1

Step-by-step explanation:

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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