enter the correct answer in the box.\nfunction g is graphed here.\nif function f is the parent exponential…

enter the correct answer in the box.\nfunction g is graphed here.\nif function f is the parent exponential function $f(x) = e^x$, what is the equation of transformed function g in terms of function f?\nreplace the value of a to complete the equation.\n$g(x) = af(x)$

enter the correct answer in the box.\nfunction g is graphed here.\nif function f is the parent exponential function $f(x) = e^x$, what is the equation of transformed function g in terms of function f?\nreplace the value of a to complete the equation.\n$g(x) = af(x)$

Answer

Explanation:

Step1: Recall the parent function

The parent function is ( f(x) = e^x ). At ( x = 0 ), ( f(0)=e^0 = 1 ).

Step2: Find the value of ( g(0) )

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

Step3: Use the equation ( g(x)=af(x) )

Substitute ( x = 0 ) into ( g(x)=af(x) ), we get ( g(0)=af(0) ). We know ( g(0) = 3 ) and ( f(0)=1 ), so ( 3=a\times1 ), which means ( a = 3 ).

Answer:

( 3 )