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Using the graphic organizer, describe each of the following mapping notations in words, then perform the transformation on the point (5.-1). 1. (x,y)→(-x,-y)2. (x, y) (x,y) 3. (X, y) → (kx, ky); k = 2 4. (x,y) → (x.-y) 5. (x,y) - (x + 3. y + 1)



Answer :

1. (x,y)→(-x,-y) ==> This is a rotation of 180 degrees (clock wise and counter clockwise) = (5, -1)→(-5, 1)

2. (x, y)→ (x,y) ==> This is a dilation by a scale factor of 1. (5, -1) ==> (5, -1)

3. (x,y) → (kx, ky); k = 2 ==> A dilation by a scale factor of k, where k is 2.

(5, -1) ==> (5*2, 5*-1) = (10, -5)

4. (x,y) → (x.-y) ==> This is a reflection over the x-axis.

(5, -1) ==> (5, 1)

5. (x,y) - (x + 3. y + 1) ==> This is a movement of 3 units to the right(on x axis) and 1 unit upward(on y axis).

(5, -1) ==> (5+3, -1 + 1) = (8, 0)

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