Question

what would Y=-x^2+x+12 be in intercept form?

Answer 1

intercept form ... thats a term you dont here often. I believe that form is similiar to teh structure of an ellipse of hyperbola

Answer 2

great minds
http://openstudy.com/study#/updates/51d43840e4b0befebdaf5489

Answer 3

y=-x^2+x+12

x^2-x + y = 12

(x^2-x)/12 + y/12 = 1

and complete the square on the xs

Answer 4

might be best to do a square completion before hand to adjust that 12 correctly

Answer 5

oooh i see
a quick google search tells me that "intercept form" is the same as "factored"

Answer 6

the intercept form of a line :)

ax + by = c

ax/c + by/c = 1

x y
---- + ---- = 1
c/a c/b

Answer 7

as in "display the \(x\) intercepts"
i have never heard it called that before
learn something new every day

Answer 8

.... murmur

Answer 9

lol

Answer 10

Not really on this topic, but I would like to at least get a color other than purple on here.
Also, these guys are very helpful!

Answer 11

lol, my sister says its brown :)

Answer 12

amistre and satellite in one question... overkill :D

Answer 13

Exactly! So much intelligence in one small space.... universe... imploding... :D

Answer 14

dsm, you can probably just ignore those first four posts, as I would imagine they're a bit confusing for you. The fourth post is spot on though.
The "intercept form" is called the intercept form because, when written in that form, it is simple to look at the equation and see the x-intercepts. The form we'd like for this is factored.

So, for this problem, we'd like to factor it.
\(\Large -x^2 + x+12\)
\(\Large = -(x^2 -x -12)\)
\(\Large = -(x\pm\text{_})(x\pm\text{_})\)

Answer 15

The first step is to get rid of the negative coefficient for \(x^2\) by factoring out a negative.
The second step I've left for you to complete on your own. :)