Question

what is the equation of the graph that represents f(x)=x^4 stretched vertically by 2 and shifted up 3 spaces

Answer 1

Answer: $g(x)=2x^4+3$

Step-by-step explanation:

These are some transformations for a function f(x):

If $f(x)+k$, then the function is shifted up "k" units.

If $mf(x)$, and $k>1$, then the function is stretched vertically  by a factor of "m".

Knowing this transformation and knowing that the function $f(x)=x^4$ is stretched vertically by 2 and shifted up 3 spaces, then we can conclude that new function, which we can call g(x), is:

$g(x)=2(x^4)+3$

$g(x)=2x^4+3$