Respuesta :
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.
The correct steps that will translate [tex]f(x)=3x \ to \ g(x) = (3x+1)+4[/tex] is one unit to the right and four units up
What is Translation and transformation?
Given the function h(x) = (3x+1)+4
The parent function is 3x.
For the expression 3x+1, this shows that the parent function translated 1 unit to the right.
Get the statement for the translation
For the function (3x+1)+4, there is a translation of one unit to the right and four units up
Hence the correct steps that will translate [tex]f(x)=3x \ to \ g(x) = (3x+1)+4[/tex] is one unit to the right and four units up
Learn more on translation here: https://brainly.com/question/1046778