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Babynini
 one year ago
Vertex.
Babynini
 one year ago
Vertex.

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Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Write the equation in standard form then find and list the vertex, focus, and directrix of the parabola. sketch its graph showing the focus and the directrix.(note: Choose the locations of the coordinate axes and draw them on the grid and choose scales so that your graph is, if possible, about three by three inches in size.) x^2+12x+4y+44=0

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 If you have time :)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1are you able to complete the square for the x terms?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1x^2+12x+_____ what goes in the blank to make that a perfect square?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so add and subtract 36 on the same side or add 36 to both sides

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1then group (x^212x+36) and factor that to get (x6)^2

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0kks, I chose to add 36 to both sides (x6)^2+4y+44=36

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0(x6)^2+4y=8 (subtracted 44 from both sides)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1now isolate y

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you can simplify that further

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0hrm the original and that one don't graph the same o.0

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=x%5E2%2B12x%2B4y%2B44%3D0 Original

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=Parabola+y%3D%28%28x6%29%5E2%29%2F4%29+2 New equation

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Would it work to do: 4y=x^212x44 y= x^2/4 3x 11 ?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Or does the equation we previously made look better?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=Parabola+y%3D1%2F4x%5E2+3x11 ....haha what.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1oh I made a mistake, it's not 12x it's +12x

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so it should factor to (x+6)^2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you should get \[\Large y = \frac{1}{4}(x+6)^2  2\]

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0Yep that's what I have :)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0that is still a different graph than the original

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I have it matching up

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0oh yeah, sorry. It is. Wolfram was doing a close up of the graph and I hadn't noticed.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you forgot the negative in http://www.wolframalpha.com/input/?i=Parabola+y%3D%28%28x6%29%5E2%29%2F4%29+2

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0so next is finding foci, vertex, and directrix.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1have a look at this http://www.mathwords.com/f/focus_parabola.htm

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0k, so mines a vertical parabola.

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0um and I use x^2=4py to find everything?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Convert \[\Large y = \frac{1}{4}(x+6)^2  2\] to 4p(yk) = (xh)^2 form

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0would that be (y+2)/4=(x+6)^2 ??

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1more like 4(y+2) = (x+6)^2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.14(y+2) = (x+6)^2 is in the form 4p(yk) = (xh)^2 p = 1 h = 6 k = 2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433470391325:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433470408839:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433470431794:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah directrix is y = 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hi can i borrow jim_thompson5910

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0umm so the graph looks like dw:1433470684289:dw

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433470710284:dw

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433470757831:dw ish lol

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0the prof loves complete accuracy. so if I wanted to find the exact points that the parabola passes though do I just substitute numbers for x into the equation and find out y?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah you can do that to plot points or use desmos to get an accurate graph desmos.com/calculator

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0well, i've got to show work. but i'll use desmos to make sure :) thanks!

Babynini
 one year ago
Best ResponseYou've already chosen the best response.0er it worked until I got to 7 and 8 values for x :o
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