How does the graph of 𝑓(𝑥)=3∣𝑥+2∣+4f(x)=3∣x+2∣+4 relate to its parent function?A.The parent function has been stretched.B.The parent function has been compressed.C.The parent function has been translated up.D.The parent function has been translated to the left.SUBMITarrow_backPREVIOUS
Question
How does the graph of 𝑓(𝑥)=3∣𝑥+2∣+4f(x)=3∣x+2∣+4 relate to its parent function?A.The parent function has been stretched.B.The parent function has been compressed.C.The parent function has been translated up.D.The parent function has been translated to the left.SUBMITarrow_backPREVIOUS
Solution
The parent function for 𝑓(𝑥)=3∣𝑥+2∣+4 is 𝑓(𝑥)=|𝑥|.
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The "3" in front of the absolute value function indicates a vertical stretch by a factor of 3. So, the parent function has been stretched.
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The "+2" inside the absolute value function indicates a horizontal shift to the left by 2 units. So, the parent function has been translated to the left.
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The "+4" outside the absolute value function indicates a vertical shift upwards by 4 units. So, the parent function has been translated up.
So, the correct answers are: A. The parent function has been stretched. D. The parent function has been translated to the left. C. The parent function has been translated up.
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