anonymous
  • anonymous
graph and label the focus, directrix and vertex of y=x^2+6x-4
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
get it in this form by completing the square: y-k = 4*a*(x - h)^2 where (h, k) is your vertex. a is the disance from your vertex to your focus. it is also the distance to your directrix but in the opposite direction from your focuas
anonymous
  • anonymous
how do i find my vertex?
anonymous
  • anonymous
let's complete the square... |dw:1332975233782:dw| what should go in the blank to complete the square?

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anonymous
  • anonymous
still there?
anonymous
  • anonymous
wait..
anonymous
  • anonymous
x-4=x^2 ? im not sure..
anonymous
  • anonymous
am i doing this right?
anonymous
  • anonymous
its 9
anonymous
  • anonymous
y+4+9=x^2+6x+9
anonymous
  • anonymous
|dw:1332978017260:dw|
anonymous
  • anonymous
yes, you got it.
anonymous
  • anonymous
so, what's your vertex?
anonymous
  • anonymous
(-3,-13)
anonymous
  • anonymous
good. ok here's the hard one: what's "a"
anonymous
  • anonymous
1/4
anonymous
  • anonymous
ok. is this parabola opening upwards or downwards?
anonymous
  • anonymous
upwards
anonymous
  • anonymous
you're answering all questions correctly. i think you can take it from here then? I'd be glad to continue if you wish...
anonymous
  • anonymous
how about the focus?
anonymous
  • anonymous
will it be..
anonymous
  • anonymous
,-3,-12(3/4),
anonymous
  • anonymous
Dy=(-13(1/4))
anonymous
  • anonymous
from your vertex, go up 1/4 units (that's your a). to get your directrix 1/4 units the opposite direction... |dw:1332978513940:dw|
anonymous
  • anonymous
thnks.
anonymous
  • anonymous
yw... good job.

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