Question

10tY -10 10 -10 Match the function with the graph. a =Inx+3 --in C. b. =n- 3 d y=-n(x+ 3) -1 AL-

Answer 1

The function that matches the graph above is -ln(x+3). The answer is option d.

As we can see, the ln(x) has a transformation since it was multiplied by -1 (changing its direction), and is shifted three units to the left, represented by (x+3). We have to remember that the ln(x) function passes through the point (1, 0), and shifted three units to left makes the function passes through the point (-2, 0) (this is the x-intercept).