[Music] muscle man welcome boss a channel poet said at the mahogany paella has a serpent on your math teacher I mean you're nibbling my tutor fare subscribe now as a depleting libra onion tutorial again goes up another topic Manila Panama identical Panama my identify your opening any sound parabola cuz I am parabola melon a partner equation depending on its opening opens upward opens downward opens to the left and opens to the right so poppin dilib identify whom only son parabola in a sauna opening i say do not enmity dictator the nothing but a lemon coumadin equation energy meter and paladins a parabola not even so sit back relax this is our lesson for today at Sublette natal Papa Tom senior in the Long Valley novel Iranian panda-sama lemon in your Kunis on opening nights on parabola number one and focus a lagging NASA logo parabola and directories number two among directrix I logging NASA opposite nice on parabola I have mentioned earlier there are two things that you need to remember in order for you to identify the equation of the parabola easily so number one unfocus a lagging a slope the magnum parabola so if you can see so on focus a lagging nasa lobe and then number two in directrix a lagging us opposite side non parabola so in this case if you model ethics nothing like is a nasa opposite side now parabola these concepts will help you easily identify one equation examity nothing and so now in the Magnus is a muna not I'm equations on parabola depending on opening number one opens upward here's the four holes here's the vertex and here's D the electrics the equation is X minus H quantity squared equals four C times the quantity of y minus key number two opens downward here's the vertex here's the focus and here is the directrix the equation is X minus H quantity squared equals negative four C times the quantity of y minus K the third equation is opens to the right yes the vertex is the focus and here's the directrix the equation is y minus K quantity squared equals four C times the quantity of X minus H number four opens to the left here's the focus Houston vertex and here's the directrix the equation is y minus K quantity squared equals negative four C times the quantity of X minus H now even I didn't put a high building up at night so I hope he showed you say in your own even pattern anything anko you can have your own pattern dependence a no better opportunity Ninkasi on directories so far enough Eugenia grant even directly so identify the equation of the parabola the very cool on your Cartesian plane so coefficient in the beam x-axis in a horizontal at young why RCC in a vertical Navin appearing on : our young directrix if the directrix is in is horizontal it makes a being honest on an equation a young X minus H a P shalini on a squirrel Reba so para la silla kappa not a vertical element um along the electrics VAR my assistant dean and a heretical I'm not sewing on a y minus K quantity squared so at all I asking it along imparted Barmes medida comma identify quano equation now when I wanna win mrs. Harbach on NASA opens to the left alright opens upward down so hitting the moon no man didn't foresee and I say no foreseen or paint I only opens upward and onward soybeans upward come on positive you foresee a big Sabean opens up again about negative um foresee opens down or again similar with number three and number four if this is negative so nohow opens with the lab if this is positive it is opens to the right everyone it in the end in Europe level you can have your own epithelium patterning gopalam identify economist maybe this is an equation of rebuilding the gamete and akaru I know a lot and annually 2.0 meter mass of about now let us apply what we have learned awhile ago here airplane attend Ito so if the vertex is at negative 3 comma 4 and the focus is 0 comma for an equation under the medina toñito they suffer scale on at Antonio visualize kilometer he Platt you mana points so negative 3 comma 4 so 1 2 3 comma 4 1 2 3 4 so basically in and et UN this our vertex and the force is at 0 comma 4 so 0 comma 4 and nutrition switch the focus suicide because in Hanina invert alpha or saladna saladna parabola so therefore common eating focus is a being a parabola netanyahu pain Sahana up anything directrix and there it is nothing how vertical so on average inertia ibig sabihin a gamut along Y minus K quantity squared equals an aperture positive or negative integers are positive infinity veto so it makes a be here in Portugal in Matina 10 for see X minus H so I think equations are the meeting happen in this example an example the vertex is at negative 2 comma negative 2 and the directrix is y equals 0 so a visual is Munna not a negative 2 comma negative 2 and eaten this our vertex and the directrix is y equals 0 y y0 is on line of otama so y axis is 0 Sabeena potential sixaxis non depot on RTing directrix on and eternal ethics when the term vertex in Sabine direct is a NASA opposite side non parabola so it is a being opens downward tire I've seen some dialectics in a horizontal Sanjay Committee not in a young X minus H quantity squared equals opens upward or downward so angle in attendee toe so they'll nod on Russia a Punta in parables and negative infinity so it'd be so being in a negative force in a Tinto yeah so disclaimer young woman behind a pellet and Angola personal computer turned on so electron mathematical in a B C's fellow at a young Anonymous medallion pala and identifying equation of parabola example the vertex is at 4 comma 4 the focus is 4 comma 6 so visualize Manhattan as an affair comma 4 so 1 2 3 4 1 2 3 4 70 to [Music] Shenyang for say 4 comma 6 1 2 3 4 1 2 3 4 5 6 who's the vortex induced the focus and again I'm focused lagging a celeb nom parabola so Sabine opens up wide in turn opens upward uncle yang horrible uncanny Anderlecht weeks and Ipoh Shanna horizontal angle gamma D not in IX minus H quantity squared equals the how opens upward shall positive in for C Y minus K so the vertex is at 0 comma negative 8 the directrix is likewise negative 1 super fun at all so 0 comma negative 8 so 1 2 3 4 5 6 7 8 9 and then the directrix is y equals negative 1 3 totally tuned again so 18 watt in vertex aconitine directrix and directrix NASA opposite side non parabola there it's opens upward eye opens downward pala come opens downward and directrix now horizontal photogrammetry now X minus H quantity squared equals that opens downward opened as a negative infinity diameter non-negative for C times y minus K this time the focus and directrix is even the focus is a true comedy and the directrix is x equals 6 so pop anion supplied money latinum for host two comma tree Soto comma Trina and Etrian use the focus and the directrix is X equal six a vertical line passing through positive 6 so it to un and whelen vertex tie on a leg a detail but the vertex is actually at the middle of the two so belong at the 1 2 3 4 so get Nonya ito-san and deepen a holiday on RTing vertex so proton vertex and eaten for host attitude electrics Vivek Sabina hepanza say left c'mon directrix in a heretical observing exam Italian on y minus K quantity squared it was dial opens to the left upon us a negative infinity so the geometry non negative for C times X X minus H so yeah and so much making motherliness at your home we show in the parabola so patenella blog net oh please don't forget to subscribe my channel uploads and also share these two students Nana give up and so much to go to immemorial motto muy guapa a serpent at money our by the serpent at money I'm a PI serpent on your math teacher the likenesses are big if you cannot change the world at least make a difference by