Question

Triangle is translated using the rule (x, y) → (x 1, y - 4) and then reflected across the y-axis to create triangle x^ prime prime y^ prime prime z^ prime prime what is the location of z^ *

Answer 1

To find the location of point Z** after a translation and reflection, apply each transformation to Z's original coordinates. The translation shifts Z right by 1 and down by 4 units; the reflection flips Z across the y-axis. The original coordinates of Z are necessary to perform the calculations.

Step-by-step explanation:

The question asks about performing transformations on a triangle in a coordinate plane. Specifically, there is a translation following the rule (x, y) → (x + 1, y - 4) and then a reflection across the y-axis. To find the new location of a point after these transformations, apply each transformation step by step.

Assuming the initial coordinates of point Z are (xz, yz), after translation, the coordinates become (xz + 1, yz - 4). A reflection across the y-axis means to change the sign of the x-coordinate, resulting in (-xz - 1, yz - 4) as the final coordinates of Z after both transformations.

To answer the student's question, we would need the original coordinates of point Z to calculate its final location after the transformations. Since the original coordinates of Z are not provided, we can only describe the process to locate Z**.