The function is a transformation of the parent function . Describe the transformation by filling in the blank: The graph of is obtained by shifting the graph of _______ unit(s) to the _______, stretching it horizontally by a factor of ________, and then shifting it ________ unit(s) ________.
Answer & Analysis
Analysis
Question Analysis
This question requires students to identify and describe the transformations applied to the parent function to obtain the function . The transformations include horizontal and vertical shifts and a horizontal stretch.
Key Concept Explanation
The general form of a transformed absolute value function is . Each parameter (a, b, h, k) controls a specific transformation:
: Vertical stretch or compression and reflection over the x-axis.
: Horizontal stretch or compression and reflection over the y-axis.
: Horizontal shift.
: Vertical shift.
Step-by-step Solution
1. Identify the parameters in the function
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