Question

In the graph below, line k, y = -k makes a 45° angle with the x- and y-axes. Complete the following:

Rk Rx : (2, 5) ---->

Answer 1

the answer is (5,-2) please explain

Answer 2

@ganeshie8 @terenzreignz

Answer 3

@satellite73

Answer 4

@Preetha

Answer 5

@satellite73

Answer 6

@robtobey @ajprincess

Answer 7

I was wondering when you'd actually provide the graph ^_^

These are reflections, no?

Answer 8

they are product transformations

Answer 9

but yes, they're reflections i fguess

Answer 10

*guess

Answer 11

Well, first you work from right to left... what happens when you reflect the point across the x-axis (Rx) ?

Answer 12

it becomes negative, correct?

Answer 13

@terenzreignz

Answer 14

Not exactly... when you reflect across the x-axis, only the y-coordinate becomes negative, x stays the same.
So after Rx, your point is now...?

Answer 15

oh!

Answer 16

2,-5

Answer 17

That's right. Now, we reflect across the other line, the line k.
It's hard to go into the nitty gritty details of what actually goes on in this reflection, but suffice it to say, reflecting across the line k (actually the line y = -x)

What happens to a point is that the two coordinates switch, and then both get multiplied by -1.

So, for instance, the point (3,-1), after being reflected across the line k, becomes...
--> (-1,3) [switch]
--> (1,-3) [multiply both by -1]
so now, you just do that to
(2, -5)
and you'll be all set ^_^

Answer 18

ok! thanks! i think it would've confused me if you exexplained it the long way anyways! haha thank you! @terenzreignz