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castortr0y [4]
3 years ago
13

find the image of (5,7) obtained by translating 4 units down, followed by a reflection over the y-axis​

Mathematics
1 answer:
vaieri [72.5K]3 years ago
6 0

Answer:

<em>The image is (-5,3)</em>

Step-by-step explanation:

<u>Translation and Reflection</u>

One point P of coordinates (x,y) can be translated by (a,b) units by adding the units to the corresponding coordinate. This will map P to P' of coordinates P'(x+a,y+b).

A reflection across the y-axis maps the point P(x,y) to the point P'(-x,y).

The point P(5,7) will first be translating 4 units down to get P'(5,7-4) = P'(5,3).

Point P'(5,3) will finally be reflected over the y-axis and maps to P''(-5,3).

The image is (-5,3)

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