
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

Transcribed Image Text:Angel placed a rectangular photograph on a page of the yearbook.
Rectangle \(ABCD\), shown on the coordinate grid below, represents the location of the photograph on the yearbook page.
**Coordinate Grid Description:**
- The grid is in a standard x-y coordinate plane.
- Rectangle \(ABCD\) has vertices at \(A(-8,7)\), \(B(-2,7)\), \(C(-2,4)\), and \(D(-8,4)\).
**Transformation Process:**
Angel dilates the photograph, rectangle \(ABCD\), by a scale factor of \(\frac{1}{2}\) with the center of dilation at the origin to form rectangle \(A'B'C'D'\) and then translates rectangle \(A'B'C'D'\) 3 units down to form rectangle \(A''B''C''D''\).
**Question:**
What are the coordinates of vertex \(D''\)?
Use the number pad to enter your answers in the boxes.
\(D''(\_, \_)\)
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