Answer:
![y=4(3)^(x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/fbmh50oxhlbh0hmzkkf0wm5xzzyeczi5gx.png)
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) =
![4(3)^(x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/zwsb5v01f9vs716jck0sofniwgfhf43b6l.png)
Therefore, equation of the function will be,
![y=4(3)^(x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/fbmh50oxhlbh0hmzkkf0wm5xzzyeczi5gx.png)