Answer:
B. vertical stretch by 4, translate left by 5
Explanation:
When the output of a function is multiplied by a factor, its graph is stretched vertically by that factor. So 4√x stretches √x vertically by a factor of 4. This knowledge by itself lets you select the correct answer choice, B.
When a value is subtracted from the independent variable, the graph is moved (translated) to the right by that amount. Here -5 is subtracted to get √(x+5) from √x. So the graph is translated to the left by 5 units (the opposite of right).
Taken together, these transformations stretch the function vertically by a factor of 4 and translate it left 5 units.