I'm not entirely sure how to determine the values of a and k. My initial observation were that only the y values change and not the x values. So, I proceeded to find the parent points:

Transformed Point: (1/4, -9)

\(\displaystyle y=log_2(1/4)\)

\(\displaystyle 2^y = 1/4\)

\(\displaystyle ylog_2 = log(1/4)\)

\(\displaystyle y=log(1/4)/log2\)

\(\displaystyle y=-2\)

Parent Point: (1/4, -2)

I then did the same thing for the other transformed point and got (16, 4) as the parent point.

As to what I do next, I have no idea. I'm not even necessarily sure if you're required to find the parent points, I just solved for them because it was the only thing I could think of.

What happens next after I find the parent points? Or what should I have done differently?