Answer:
Step-by-step explanation:
Parent function has been given as,
f(x) = [tex]10^x[/tex]
If this function is vertically stretched by a scale factor 5,
g(x) = k[f(x)]
g(x) = [tex]5(10)^x[/tex]
Then function 'g' is shifted right by 2 units, new function will be,
k(x) = g(x-2)
k(x) = [tex]5(10)^{x-2}[/tex]
Finally the function 'k' is shifted up by 6 units, then the function 'h' will be,
h(x) = k(x) + 6
h(x) = [tex]5(10)^{x-2}+6[/tex]
