To translate the function f(x) = 3x² + 2 upward by 5 units, we need to add 5 to the function. This will shift the entire graph of f(x) vertically upward.
So, the equation of g(x) will be:
g(x) = f(x) + 5
Substituting the expression for f(x), we have:
g(x) = 3x² + 2 + 5
Simplifying, we get:
g(x) = 3x² + 7
Therefore, the equation of g(x) is g(x) = 3x² + 7.
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Answer:
To translate the function f(x) = 3x² + 2 upward by 5 units, we need to add 5 to the function. This will shift the entire graph of f(x) vertically upward.
So, the equation of g(x) will be:
g(x) = f(x) + 5
Substituting the expression for f(x), we have:
g(x) = 3x² + 2 + 5
Simplifying, we get:
g(x) = 3x² + 7
Therefore, the equation of g(x) is g(x) = 3x² + 7.