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`

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`