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Mathematics 7 Online
OpenStudy (watermelon14):

how do i graph this? y=-(x+8)(x-6)

OpenStudy (watermelon14):

@zepdrix do u know?

zepdrix (zepdrix):

Based on the way it is factored, do you know what the `zeros` or `x-intercepts` of the function are?

OpenStudy (watermelon14):

yeah, but i am not sure and i suppose to FOIL it out to get a quadratic?

zepdrix (zepdrix):

You could do that, but that seems unnecessary. To find the x-intercepts, we let y=0.\[\large\rm 0=-(x+8)(x-6)\]

zepdrix (zepdrix):

So what are your x-intercepts? :o

OpenStudy (watermelon14):

6 is one but for the -(x+8) do i distribute the negative?

zepdrix (zepdrix):

No.\[\large\rm 0=-(x+8)(x-6)\]Instead let's divide both sides by -1, \[\large\rm 0=(x+8)(x-6)\]Zero divided by -1 remains 0, the other side becomes positive. So you can see that the negative out front has no effect on our intercepts.

zepdrix (zepdrix):

Or multiply both sides by -1, whichever method makes more sense :)

OpenStudy (watermelon14):

ok:p so i got -8 and 6

zepdrix (zepdrix):

|dw:1445918585965:dw|Ok great.

zepdrix (zepdrix):

|dw:1445918660379:dw|There is another nice easy point that we can get. It lies on this purple line, the y-axis.

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