Question

Write a function that transforms f(x)=2x^2+4 in the following way:

stretch vertically by a factor of 4 and shift 3 units left.
g(x)=?

Answer 1

the equation whose vertex lies on (h, k) is \(\large y=a(x-h)^2 + k \).
use that to shift your graph the amount required by the problem...
"a" is the stretch factor...