Respuesta :

Answer:

4th option

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then shift left by a units

• If a < 0 then shift right by a units

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Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then

g(x) = [tex](\frac{1}{4}) ^{x-3}[/tex] + 5

is f(x) shifted 3 units right and 5 units up