Question

Analyze the effects on the graph of f(x) = 10% that result from the parameter

changes in the function, h(x) = 5(10)*2 +6. Explain how each transformation
appears in the equation and its effect on the original function, R(x) = 10%. Be
sure to use mathematical language in your explanation.

Answer 1

Explanation:

Parent function has been given as,

f(x) =
`10^x`

If this function is vertically stretched by a scale factor 5,

g(x) = k[f(x)]

g(x) =
`5(10)^x`

Then function 'g' is shifted right by 2 units, new function will be,

k(x) = g(x-2)

k(x) =
`5(10)^(x-2)`

Finally the function 'k' is shifted up by 6 units, then the function 'h' will be,

h(x) = k(x) + 6

h(x) =
`5(10)^(x-2)+6`