Question

Graph the image of V(0, -2) after a rotation 180° clockwise around the origin.

Answer 1

Greetings from Brasil...

For rotation, we can use the expression:

V(X; Y) → V'(Xcos θ - Ysen θ; Xsen θ + Ycos θ)

Let rotate 180° - specifically for this angle, 180°, either counterclockwise or clockwise

SEN 180 = 0 and COS 180 = - 1

V(X; Y) → V'(- X; - Y)

V(0; - 2) → V'(0; - (- 2))

V'(0; 2)

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