Answer:
[tex]y=4(3)^{x}[/tex]
Step-by-step explanation:
Let the exponential function is,
f(x) = (b)ˣ
If this function has the base (b) = 3, function will be.
f(x) = (3)ˣ
If this function is transformed by a vertical stretch by a factor of 4,
New function will be,
g(x) = 4(3)ˣ
If the function 'g' is reflected across y-axis, new function will be,
h(x) = g(-x)
h(x) = [tex]4(3)^{x}[/tex]
Therefore, equation of the function will be,
[tex]y=4(3)^{x}[/tex]
