Question
2.) The function \( g \) is related to one of the parent functions \( g(x)=x 2-3 \) The parent function is: \( f(x)=x^{\wedge} 2 \) Use function notation to write \( g \) in terms of \( f \).
Ask by Savage Rojas. in Ghana
Dec 28,2024
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Answer
\( g(x) = f(x) - 3 \)
Solution
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Beyond the Answer
To express \( g \) in terms of the parent function \( f \), we need to take into account the transformation applied to the parent function. Here, \( g(x) = x^2 - 3 \) can be rewritten using \( f(x) \) as follows: \[ g(x) = f(x) - 3 \] This means \( g(x) \) is the result of taking the output of the parent function \( f(x) \) and then vertically shifting it down by 3 units.