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8-1 Graphing ax2 video 1 (3/13/17)

Added Mar 13, 2017 •

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alright guys so today we are learning actually this chapter were learning about problems and how to graph them mainly and some other characteristics of today we're starting with the very basic function graphing f of x equals x squared so it's just the basic problems plus we'll have a little bit of time tomorrow to look at it look at it some more and practice graphing them some more but you're such a question for today is are some of the characteristics of the graph of a quadratic function of the form of x equals 8X squared so copy that down positive you need to can get started on your warm up cuz the next Green you're going to see is the answers to your warm-up and remember your multiplying needs one your warm up so you can Use the distributive property you can make a table or you can use the foil method whichever you like best of him so hear your answers to the warm-up it says You Use the distributive property you remember like I said you can use whatever property makes you happiest can check and see if yours are the same as mine and if they are give yourself a pat on the back and if they aren't fix your mistakes and then give yourself a pat on the back composite here to finish checking your answers talk about with a partner if you can't find your mistake and I'm sorry to go back and forth and so core concept the characteristics of a quadratic function so first of all quadratic function this is also called a what is written right here problem a problem has a vertex and that's either the lowest or the highest point so in this case right here the vertex is your lowest point  and then we have the axis of symmetry this line right here is your axis of symmetry symmetry mean  Amine the same on both sides so  it means that on the blue side it is the same as on the red side to the increasing of the decrease those each point is equidistant to that line so axis of symmetry means it goes perfectly down the middle of your problem and your axis of symmetry always pass through the vertex other things to know for your Parabola you are doing meme  and I don't know what's going on with my stylus right now but it's like doing these like wiggily lines were some reason I'm deciding to just ignore it but yeah anyways all real numbers because those arrows mean that they are going to extend forever in both directions but if we were looking at this particular problem your range is where your lowest point your vertex is in what is my why value right here at the vertex  it's 0 so my range is why is greater than I'm telling you it's not me it's the pain greater than or equal to because it hits it 0 greater than because it's going up  okay let's look at some of our characteristics some example one was kind of weird because it just like gave you all the information and the book it like I only ask you a question so let's just talk about this stuff and then we'll try it on our own for the next two examples I'm so for example let's consider the graph of the quadratic function using the graph Identify two characteristics as a Vertex which they already did for you your vertex is -1 negative 2 because that's the lowest point of your graph axis of symmetry so this is that's going to be this line right here that goes straight through the middle of your problem  and the figure of the graph which we weren't going to talk about too much about the behavior of the graph but instead we will still talk about the domain is all real numbers and the which is all real numbers greater than or equal to 2 so the way we write it would be I'm telling you that's not me  why is greater are equal to 2 okay well I don't know what to do it's just losing his mind right now how do you stop this video will look at the next one and  it's trying to look at it first Ops

Uploaded by Lauren Stouffer.

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8-1 Graphing ax2 video 1 (3/13/17)

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