Respuesta :
Answer:
Option A is correct.
[tex]g(x)=1.25 \cdot 10^x[/tex] is a function represents a transformation of f(x) by a vertical stretch with factor of 1.25.
Step-by-step explanation:
Given the function: [tex]f(x) = 10^x[/tex]
For a base function f(x) and a constant k > 0, the function is given by:
g(x) = kf(x), can be sketched by vertically stretching f(x) by a factor of k
if k>1.
Since, factor(k) = 1.25 > 1.
then;
[tex]g(x) = 1.25 f(x)[/tex] .......[1]
Substitute [tex]f(x) = 10^x[/tex] in [1];
[tex]g(x)=1.25 \cdot 10^x[/tex]
Therefore, the function represents a transformation of f(x) by a vertical stretch with factor 1.25 is, [tex]g(x)=1.25 \cdot 10^x[/tex]
