Answer
(a) $(2,12)$
(b) $(32,12)$
Work Step by Step
(a) As $f(4x)$ can be obtained by shrinking $f(x)$ horizontally by a factor of 4, we can obtain the corresponding point of $(8,12)$ as $(2,12)$
(b) As $f(\frac{1}{4}x)$ can be obtained by stretching $f(x)$ horizontally by a factor of 4, we can obtain the corresponding point of $(8,12)$ as $(32,12)$