Answer: [tex]g(x)=2x^4+3[/tex]
Step-by-step explanation:
These are some transformations for a function f(x):
If [tex]f(x)+k[/tex], then the function is shifted up "k" units.
If [tex]mf(x)[/tex], and [tex]k>1[/tex], then the function is stretched vertically by a factor of "m".
Knowing this transformation and knowing that the function [tex]f(x)=x^4[/tex] is stretched vertically by 2 and shifted up 3 spaces, then we can conclude that new function, which we can call g(x), is:
[tex]g(x)=2(x^4)+3[/tex]
[tex]g(x)=2x^4+3[/tex]
