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o-na [289]
2 years ago
10

Write a function to represent each series of transformations:

Mathematics
1 answer:
Nataly [62]2 years ago
3 0
<h3>Answer:</h3>

f((x, y)) = (-y, -x)

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

Rotation 90° CCW about the origin is the mapping ...

... (x, y) ⇒ (-y, x)

Reflection across the x-axis is the mapping ...

... (x, y) ⇒ (x, -y)

Together, these do the following mapping:

... (x, y) ⇒ (-y, -x) . . . . . . . equivalent to a reflection across y = -x

Expressed as a function, this might be written ...

... f((x, y)) = (-y, -x) . . . . . . . the ordered pair argument becomes a new ordered pair

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