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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.

Analyze the effects on the graph of fx 10 that result from the parameter changes in the function hx 5102 6 Explain how each transformation appears in the equati class=

Respuesta :

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]