A triangle has vertices (1, 4), (1, 1), and (−3, 1). The triangle is dilated by a scale factor of 2, then translated 5 units up, and then rotated 90° counterclockwise about the origin. What are the vertices of the image of the triangle?

Question

anonymous · Answer

(1, 4), (1, 1), and (−3, 1) 
okay so moving 5 units up effects the y - axis only 
(1,8) (1,5) and (-3, 5) 
Rotating counterclockwise about the origin - now you didn't state where this Origin is 
so i have presumed it is the point (1,5) because it is closest point to origin (0,0) 
(-2,5) (1,5) (1,1) 
and then scale factor of 2 
(-6,5) (1,5) (1,-4) 

Hope This Helps!

anonymous · Answer

Thank you! so the final answer would be (-6,5) (1,5) (1,-4) ?

anonymous · Answer

Yup

anonymous · Answer

you made a very small mistake

e.mccormick · Answer

For these, order of operation matters.  Watch:

Up 5, then double:  (1,1) becomes (1,6) becomes (1,12)

Double, then up 5:  (1,1) becomes (2,2) becomes (2,7)

Very different answers, so changing the order at all will get you the wrong answer.