Which function represents the exponential function f(x) = 3x after a vertical stretch by a factor of 8 and a reflection across the x-axis?

Question

1. A.
2.  g(x) = 3^-8x
3. 
   
4. B.
5.  g(x) = - 3^8x
6. 
   
7. C.
8.  g(x) = 8  ^. 3^-x
9. 
   
10. D.
11.  g(x) = - 8  ^. 3^x

Answer 1

For a vertical stretch, the factor goes in front of the function, so f(x) becomes stretch_factor * f(x)

For the reflection across the x-axis, the entire function is multiplied by -1, so f(x) becomes -f(x) with the negative distributed to every part of the original equation