question\nthe graph of ( y = 3f(x - 2)+4 ) is the graph of ( y = f(x) )\nselect the correct answer…

Explanation:

Step1: Analyze vertical transformation

For the function (y = af(x - h)+k), when (|a|> 1), it is a vertical stretch. Here (a = 3>1), so it is a vertical stretch by a factor of 3.

Step2: Analyze horizontal transformation

For the function (y = f(x - h)), when (h>0), the graph shifts to the right. Here (h = 2>0), so it shifts right 2 units.

Step3: Analyze vertical shift

For the function (y = f(x)+k), when (k>0), the graph shifts up. Here (k = 4>0), so it shifts up 4 units.

Answer:

vertically stretched by a factor of 3, shifted right 2 units and up 4 units