Answer:
Step-by-step explanation:
A function s is the HORIZONTAL SHRINK of a function h by a factor k
if s(x) = h(kx)
It is called a shrink, because for k > 1 that has the effect of compressing
the function h towards the y-axis.
I find the problem statement a little confusing because
using k = 1/6 would result in stretching, not shrinking.
Therefore my guess is that the author means k = 6.
A function r is a REFLECTION of a function h in the x-axis
if r(x) = -h(x).
The reason is that r looks like a mirror image of h,
where the mirror is the x-axis.
A function t is a TRANSLATION 2 units down of a function h
if t(x) = h(x) - 2.
The graph of t looks like h, except shifted down 2 units.
Applying the definitions to your function f:
g(x) = -f(6x) - 2 = -36x^2 - 2
