Question

Graph the image of the given triangle after the transformation with the rule (x, y)→(y, −x)

Answer 1

Do you have a picture of the triangle on the graph?

Answer 2

Okay. So first you want to label points A, B, and C. Go from left to right when labeling.

Answer 3

okay

Answer 4

A- (_,_)
B- (_,_)
C- (_,_)

Answer 5

a - (-3,3)
b - (-2,-3)
c - (5,4)

Answer 6

Correct! So we know that the points are (x,y), so we have to switch it to (y,-x)

Answer 7

So you switch the numbers around, for example, (-3,3) becomes (3,-3) and then you make the number on the right positive, so it becomes (3,3)

Answer 8

so would i move the triangle to the points i get when i switch them to y,-x form?

Answer 9

So first you switch and then you make the one on the right opposite.

Answer 10

Yes

Answer 11

So what are the new points?

Answer 12

a- (3,-3)
b - (-3,-2)
c - (4,-5)

Answer 13

Correct except B is (-3,2)

Answer 14

So now you plot the new points on the graph, connect, A to B, B to C, and C to A, and that's your new triangle!

Answer 15

thanks

Answer 16

You're welcome!