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5 votes
Which algebraic rule describes the 90° clockwise rotation about the origin?

2 Answers

3 votes

Answer:

(-y,x)

Explanation:

Which algebraic rule describes the 90° clockwise rotation about the origin?-example-1
User Kevin Sylvestre
by
6.5k points
2 votes

Answer:

(x,y) ---> (y,-x)

We switch the x and y values, and make the x value the opposite.

Explanation:

We are basically shifting the entire graph by aplying these changes.

By inverting the x and y axis, we are changing the domain and range of the function. We are switching the original values.

By multiplying by -1 we are effectively changing the orientation 180 degrees.

Lets do an example with

y = sin(x)

picture 1

x = sin(y)

picture 2

x = -sin(y)

picture 3

Which algebraic rule describes the 90° clockwise rotation about the origin?-example-1
Which algebraic rule describes the 90° clockwise rotation about the origin?-example-2
Which algebraic rule describes the 90° clockwise rotation about the origin?-example-3
User Andrii
by
6.6k points
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