Respuesta :
Answer:
g(x) = 3x² + 7
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then shift up by c units
• If c < 0 then shift down by c units
Here the translation is 5 units up, thus
g(x) = 3x² + 2 + 5 = 3x² + 7
Answer:
g(x) = 3x² + 7
Step-by-step explanation:
To translate a function upward by b units, we add the constant b to the function.
Thus, g(x) =ƒ(x) +5 = 3x² +2 + 5 = 3x² + 7
The figure below shows the graphs of ƒ(x) and g(x). The graph of g(x) is the same as that of ƒ(x) shifted up by 5 units.
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