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oksano4ka [1.4K]
3 years ago
5

Given X(4, -7). What are the coordinates of X" if

Mathematics
1 answer:
Vika [28.1K]3 years ago
6 0
<h3>Answer:</h3>

B. (0, 9)

<h3>Step-by-step explanation:</h3>

Reflection across x=a is represented by the transformation ...

... (x, y) ⇒(2a-x, y)

Reflection across y=b is represented by the transformation ...

... (x, y) ⇒ (x, 2b-y)

The double reflection, across x=2, y=1 will result in the transformation ...

... (x, y) ⇒ (2·2-x, y) ⇒ (4-x, 2·1-y) ⇒ (4-x, 2-y)

For (x, y) = X(4, -7), the transformed point is ...

... X''(4-4, 2-(-7)) = X''(0, 9)

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