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Interactive video lesson plan for: Conic Sections Review parabola PrU7

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Right let's take a look at Tom question number four identify it by the properties graph label and stated definition of the coordinate the context of the problem okay now of X consider the equation the standard down the general form of a clinic given by two why square plus X minus sixteen why plus twenty-six equals zero that is is a general form of a clinical can you identify the coordinate these in the eight of appearance of this general form answer is yes you look at this of chronic what you notice is that only one variable these squared okay of an active the why square so you have only one variable squared of that automatically a problem right, but is the general form of the problem now that we can LIPET identify look at the conic it is in the form that go ahead and converted into standard form because understand this form is easier to find the properties to generate the graph so it's in order to get the sin of standard four over going to do is correct the variables first now you have to note the differentiate between the approach we use the problems and the other of chronic the general form of the other clinics in the other clinics the collect similar variables on one side of the equation and of the constant on the other side, but for of problem was what you want to do is you want to collect the terms the variables with the squared term of the left side and everything else goes on the right side okay some going to be collect into why square minus sixteen why on one side and everything else goes in the other side okay so we going to subtract X and subtract and add and then subtract twenty-six both sides so let's indicate will going to do the subtract X subtract six to both sides of the equation to that's the yield to Y square minus sixteen why equals negative X minus twenty-six okay now the goal is to create the perfect squared fundamental on the left side and express that's of one two T as the proper X square with no coefficient in front of the parenthesis right so make this is a product square we have to first of all, and sure that the squared variable as the coefficient of one the squared variable has a coefficient of two so we need to address that by factorization to the fact rather two and will be left with why square minus the faculty from sixteen you have eight one is not forget to divided by two and then plus the term that completes the square in the on white why world right right equals negative X minus twenty-six and L also going the adding something here to the that will that figure out what that is momentarily so let's see now the term that completes the square here so we we have be of why the of why is negative eight to complete the square we just have to divide that by two negative four and squared media what extreme facing at sixteen here now we added sixteen here what's to the add to the right side the ad team the answer is no there is a two-out here so we have to at two times extinct okay so the add to find that sixteen there two times sixty okay to have to be careful with that to now we have the perfect squared final meal in this parenthesis a were going at backwards with the first and the last and then you bring down the middle sign in with the have to times the quantity why minus four square equals I here we have minus X in two times sixteen is thirty-two minus twenty-six is thirty-two is positive six right now of what can we do next we can factor out negative from these two quantities right here we have to times why minus four quantity square equals negative X minus six okay and

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