Find g(x), where g(x) is the translation 8 units down of f(x)=9(x+1)2+8.
Question
Find g(x), where g(x) is the translation 8 units down of f(x)=9(x+1)2+8.
Solution
To find g(x), which is the translation of f(x) = 9(x+1)^2 + 8, 8 units down, you simply subtract 8 from the constant term in the function f(x).
Step 1: Identify the constant term in f(x). In this case, the constant term is 8.
Step 2: Subtract 8 from the constant term. 8 - 8 = 0.
Step 3: Replace the constant term in f(x) with the result from step 2.
So, g(x) = 9(x+1)^2 + 0, or simply g(x) = 9(x+1)^2.
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