Answered

How does the graph of ƒ (x)=3x+21+4 relate to its parent function?
A. The parent function has been translated to the left.
B. The parent function has been compressed.
C. The parent function has been translated up.
D. The parent function has been stretched.



Answer :

The graph of \(ƒ(x) = 3x + 21 + 4\) relates to its parent function as follows: C. The parent function has been translated up. Explanation: 1. The parent function of \(ƒ(x) = 3x + 21 + 4\) is the linear function \(ƒ(x) = 3x\). 2. In the given function, the constant term "+21" shifts the graph of the parent function 21 units up along the y-axis. 3. Therefore, the correct answer is C, indicating that the graph has been translated up compared to the parent function.