ok so when the coordinate rule looks like this
what would be the difference between the pre image and the image?
If you take a point and make its x-coordinate negative, that will flip the point over the y-axis.
And if you take a point and add 5 to its y-coordinate, that will shift the point up 5 units.
So the image is the pre-image flipped over the y-axis and shifted up 5 units.
Another word is "reflected."
If you take (3, 7) and make its x-coordinate negative, you will get (-3, 7) .
Maybe you can imagine that this graph is an open book where the y-axis is the division between two pages.
If you flipped the page, then the two points would meet.
If you took (3, 7) and flipped it over the y-axis (like flipping the page), you would get (-3, 7) .
So (-3, 7) is (3, 7) flipped over the y-axis.
And you can see that the distance between (3, 7) and the y-axis is the same as the distance between (-3, 7) and the y-axis.
Does that kind of make sense?
I like to call it the oppsite of the Number on the cordinate grid say you have (1,-1) well its oppsite is (-1,-1)
or say we have (6,5) well its oppsite or as hectictar had explained how she calls it reflected is (-6,5)
Also to count on a graph you just count each corrdinate across. See because I counted it the to points are 6 corrdinates apart..... Oh yeah thanks hectictar for your image I saved it and did that on it hope your not mad or anything XD
Nickolas, how would you say that (8, -5) and (8, 5) are related?
What is the opposite of (8, 5) ?
But if you were looking for there oppsites you could flip it over the x axcis instead of the (y) axcis so instead of left or right you could flip going down
Maybe it's a trick question. I was just trying to get you to think.
There isn't a single defined "opposite" of (8, 5) .
Instead of just saying " (8, 5) is the opposite of (-8, 5) " we need to say something like
(8, 5) is the opposite over the y-axis of (-8, 5)
(8, 5) is the opposite over the x-axis of (8, -5)
It is important to say which axis that the point is "flipped" over.