Question

Write as ordered pair???
y = -3x2 + 6x

Answer 1

What is X?

Answer 2

I don't know, I have to solve for x, I think to find ordered pair.

Answer 3

Well I got 0, tbh.

(−3)(x)(2)+6x
=(−3)(x)(2)+6x
=0

Answer 4

So Y = 0

Answer 5

Thanks. Saphira

Answer 6

In set notation,
$$
\{(x,y):y=-3x^2+6x\}
$$

Answer 7

Y does not equal 0.
http://www.wolframalpha.com/input/?i=y+%3D+-3x2+%2B+6x

Answer 8

ok. So how would I get the ordered pair, I still don't understand..

Answer 9

Yeah how would it @ybarrap ? If y is not 0

Answer 10

I feel more confused...

Answer 11

An ordered pair is a set consisting of "pairs of numbers." Ordered pairs are written like (0,1), (2,3),(-5,2), where the 1st coordinate is x and the 2nd coordinate is y. So to sample the equation you have, y=-3x^2 +6, set x=0 (for example) and see what y is:
-3(0)^2+6=0+6 = 6. So one ordered pair for your equation is (0,6). This is a "Point" on the line y=-3x^2+6.

To find ALL ordered pairs, you would need to find for ALL values of x the corresponding values of y. There would be an infinite number of them. The way to write this is using set-builder notation, which I did above. What that set describes is the set of all x and y such that the "points" (x,y) satisfy the equation y=-3x^2 +6. This is the easiest way to describe ALL ordered pairs.

Answer 12

Ok. Thank you for your time.

Answer 13

Oh x was 0 not y. I was confused

Answer 14

I thought it was y lol

Answer 15

no worries Saphira, you did way better than I! <3

Answer 16

lol