Question

Which steps will translate f(x) = 3ˣ to g(x) = 3ˣ⁺¹+4? a.shift f(x) = 3ˣ one unit up and four units to the right. b. shift f(x) = 3ˣ one unit up and four units to the left. c. shift f(x) = 3ˣ one unit to the right and four units up. d.shift f(x) = 3ˣ one unit to the left and four units up.

Answer 1

To translate f(x) = 3ˣ to g(x) = 3ˣ⁺¹+4, the function needs to be shifted one unit to the right and four units up.

Step-by-step explanation:

To translate the function f(x) = 3ˣ to g(x) = 3ˣ⁺¹+4, we need to shift f(x) one unit to the right and four units up. This can be achieved by replacing x with (x - 1) and adding 4:

g(x) = 3ˣ⁺¹+4 = 3ˣ⁺¹+4

Therefore, the correct answer is option c. shift f(x) = 3ˣ one unit to the right and four units up.

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