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Given h (x)=x-8 +2? Right 2 units, down 8 units Left 8 units, up 2 units Right 8 units, up 2 units Left 2 units, down 9 units

Given h (x)=x-8 +2? Right 2 units, down 8 units Left 8 units, up 2 units Right 8 units, up 2 units Left 2 units, down 9 units

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem Statement:** Given \( h(x) = |x - 8| + 2 \), determine the transformation applied to the function. **Options:** - ⭕ Right 2 units, down 8 units - ⭕ Left 8 units, up 2 units - ⭕ Right 8 units, up 2 units - ⭕ Left 2 units, down 9 units **Solution Explanation:** The function \( h(x) = |x - 8| + 2 \) can be analyzed as follows: - The expression \( |x - 8| \) indicates a horizontal shift. The function moves **right by 8 units** because the subtraction inside the absolute value suggests a shift to the right. - The \( +2 \) at the end of the expression indicates a vertical shift **up by 2 units**. Therefore, the correct transformation is a shift **right 8 units and up 2 units**.
Transcribed Image Text:**Problem Statement:** Given \( h(x) = |x - 8| + 2 \), determine the transformation applied to the function. **Options:** - ⭕ Right 2 units, down 8 units - ⭕ Left 8 units, up 2 units - ⭕ Right 8 units, up 2 units - ⭕ Left 2 units, down 9 units **Solution Explanation:** The function \( h(x) = |x - 8| + 2 \) can be analyzed as follows: - The expression \( |x - 8| \) indicates a horizontal shift. The function moves **right by 8 units** because the subtraction inside the absolute value suggests a shift to the right. - The \( +2 \) at the end of the expression indicates a vertical shift **up by 2 units**. Therefore, the correct transformation is a shift **right 8 units and up 2 units**.
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