Question

For 7-8, using points ┘(3,1),K(1,5), and L(5,−3), please perform the following transformations in the order that they are given. Please graph the pre-image and the FINAL prime image on the same graph. Please write the new prime points in between each step. 7.) 14: (x,y)→(x+3,y−5) 8.) 1

st:
:(x,y)→(x−6,y+1)

Answer 1

In the image at the end we can see the plots of the preimage, and the two transformations.

using points J(3,1), K(1,5), and L(5,−3), we want to apply the transformations:

7) (x,y)→(x+3,y−5)

8) (x,y)→(x−6,y+1)

To get two new sets of 3 points.

If we apply the transformation 7, we get:

Transformation 1: (x,y)→(x+3,y−5)

Point J(3,1):

J' = (3+3, 1-5) = (6,-4)

Point K(1,5):

K' = (1+3, 5-5) = (4,0)

Point L(5,-3):

L' = (5+3, -3-5) = (8,-8)

Transformation 2: (x,y)→(x−6,y+1)

Point J'(6,-4):

J'' = (3-6, 1+1) = (-3 ,2)

Point K'(4,0):

K'' = (1-6, 5+1) = (-5,6)

Point L'(8,-8):

L'' = (5-6, -3+1) = (-1,-2)

The plots of the 3 sets of points are in the image below.