Question

Describe the transformation relative to the parent function. f(x)=(9x)^4. Correct answer will get brainliest

Answer 1

If you start from the parent function $f(x) = x^4$, the only transformation performed is $f(x) \to f(9x)$. In fact,

$f(x) = x^4 \implies f(9x) = 9x^4$

In general, a transformation like $f(x) \to f(kx)$ results in a horizontal stretch. If k>1, the function is compressed, if 0<k<1, the function is streched. If k is negative, the function is reflected around the y axis, and then you apply the logic just described.

So, in your case, k=9, which means that the graph is horizontally compressed by a factor 9.