Question 374505
The first thing I did was rewrite the function: f(x)=-3^(x-1)+4

- Horizontally shifts 1 unit to the right (because of (x-1))
- Reflects about the x-axis (because of the negative in front of the 3)
- Vertically shifts 4 units up (because of the +4)

Is this correct?<br>
Yes.<br>
Does the function vertically stretch by a factor of 3?<br>
No.<br>
In my notes a compress/stretch is said to be: a > 1 then vertically stretches by factor of a
0 < a < 1 vertically compresses by factor of a<br>
This is all correct. However, your "base" function, from which the transformations are made, is
{{{g(x) = 3^x}}}
The "3" is part of the base function. If you had
{{{h(x) = -2*3^(x-1) + 4}}}
Then the "2" would be the vertical stretch factor. Your f(x) does not have any vertical stretch factor (other than 1 (which is "no stretch")).