function g is graphed here. if function f is the parent exponential function f(x)=e^x, what is the equation…

function g is graphed here. if function f is the parent exponential function f(x)=e^x, what is the equation of transformed function g in terms of function f? replace the value of a to complete the equation. g(x)=af(x)

function g is graphed here. if function f is the parent exponential function f(x)=e^x, what is the equation of transformed function g in terms of function f? replace the value of a to complete the equation. g(x)=af(x)

Answer

Explanation:

Step1: Find the value of function (f(x)=e^{x}) at (x = 0)

When (x = 0), (f(0)=e^{0}=1)

Step2: Find the value of function (g(x)) at (x = 0)

From the graph, when (x = 0), (g(0)=3)

Step3: Substitute (x = 0) into (g(x)=af(x))

We have (g(0)=af(0)). Substituting (g(0) = 3) and (f(0)=1) into the equation (3=a\times1)

Step4: Solve for (a)

So, (a = 3)

Answer:

(g(x)=3f(x))