we have the parent function
[tex]f(x)=e^x[/tex]step 1
Vertical stretch by a factor of 4
the rule is
(x,y) ------> (x,4y)
so
In this problem
we have
[tex]f(x)=4e^x[/tex]step 2
horizontal shift to the left 1 and vertical shift down 3 units
the rule is
(x,y) -------> (x-1,y-3)
so
[tex]f(x)=4e^{(x+1)}-3[/tex]therefore
Adrienne is wrong
so
the transformations that produce
[tex]f(x)=4e^{(x-1)}+3[/tex]are
Vertical stretch by a factor of 4
horizontal shift to the right 1
vertical shift up 3 units