What function is vertically stretched by a factor of 3 and translated 4 units right from the parent function a. log_(5) (3x+4) b. 3log_(5) (x-4) c. 3(5^x+4) d. 5^3x-4

The correct answer is:

B) 3log₅(x-4).

Explanation:

To stretch a function by a factor of 3, we multiply the function by 3. This eliminates A and D.

To translate a function 4 units right, we add -4 to the variable before anything else is applied to it; this eliminates C.

In choice B, the log function is multiplied by 3, which gives us our vertical stretch; and the x is subtracted by 4 before anything else is applied to it, so it is translated 4 units right.