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Algebra 2 MCR 2.1-2.2 Review Notes

Added May 19, 2020 •

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Algebra 2 MCR 2.1-2.2 Review Notes

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I will come and today's notes is going to be for the algebra 2 answer class this week we're Roofing 2.1 and 2.2 we're going to go ahead and continue with to phone to review knows that's when you can handle your paper and at any point if I asked you to do work or if I'm going to quickly could always positive if you could catch up with what spring on the screen make sure you're in a place where you're able to stay August and also be able to really engage what the note says we're reviewing. So that you can have a better chance of being successful with this week's work okay all right so we're going to graphing quadratic functions okay so we're going to continue on from the notes for Monday or Tuesday what if we have the standard form of the equation the second form in vertex form on the first day of notes this week and now we're going to do it the standard form of those are the two standard standard what you were going to see a most of our problems there is also the intercept form Iowa to also go over later okay so if you have it in a.m. squared plus BX plus C from first of all you got to get it everything to once I once you do that we'll be able to find axis of symmetry by calculating X is equal to negative B over 2A that will let me know that my two I don't like my two. write my two negative B over 2A this is also the x value my vertex so if I substitute that back in I'm going to be able to get the Y value of my birth text okay so let's go ahead and practice that find the axis of symmetry K which is AOS and my vertex in vertex is important because it's letting us know where the middle of the grasses and also indicative continuation from our notes from our session number one of this week is the maximum minimum point the highest law point of the graph can not only does a split it but it's also indicative of the highest or lowest point of the graph depending what the shape of the functionalist okay so just ran up for f of x is equal to -2X squared -8x + 1 okay so first of all since I know this is a a is -2 okay which lets us know that is faces down okay and the to list no that is going to probably look like an arrow graph okay so I already know that and that's something that we went over on Monday and Tuesday I'm going to go ahead and find my axis of symmetry which is X is equal to negative peer to a b is -8 someone write negative negative 8 for the numerator all over 2 times what is the a negative two that's going to be either over- for my Axis of Symmetry is at -2 and K how do I find the vertex while I'm going to substitute that in do my original equation so you can kind of think of this as x y t-chart and I'm I don't know I'm supposed to substitute a negative 2 and I'm trying to find my outfit so this is going to be negative two parentheses interpreting put a negative 2 squared because the x-values -2 - 8 * -2 + 1 + unless simplify that well we got to follow what what do we do first PEMDAS so parentheses I have the exponents that's going to go first so I have this negative two squared which is positive for I need to do that first now I can do my multiplication which are these to -8 + 16 + 1 and then I'm going to do my add subtract so this is positively plus one or just Okay so my vertex is located at -2 night if I were to start to grab it cuz remember the theme of this week as graphing then I know that I'm going to go left to I'm going to go up 9 can I just use one unit and because my ETA is -2 is it going to face up or is it going to face down correct answer going to face down because it's negative so my sketch is it's going to face down my vertex but negative tonight and I know that the middle of my graph is at -2 okay so we're trying to get really good at sketching our grass okay and just have an idea of where all the significant points are so one of the skill sets is to be able to find the axis of symmetry and the vertex okay the vertex this one I'm is also our maximum point because he is negative everything is facing downward so this point is my highest point as you can tell him from the graph okay let's have you guys try one find axis of symmetry vertex and then graph can't just like I did for example number one let's have you guys do x squared plus 2X minus one at this point you can pause a video go ahead and try to I'll find the axis of symmetry and the vertex and then go ahead and grab it I'll when you're ready to check your work please I'm positive and if you're back here we go I'm going to first of all I knew that my 80 is equal to positive one I know that this faces okay so am I axis of symmetry X is equal to negative B over 2A is going to be be is to 2 * 1 is -2 over 2 which is negative one negative one is my what's the temperature in x equals negative when is Max's symmetry how do I find the vertex and I do x y t chart for only one value -1 steps to division equation instead of writing  I'm going to write negative 1 square that's what fun next to me + 2 * -1 - 1 simplify that two positive 1 - 2 - 152 at a time negative 1 minus one negative to this Valley is -2 sue my vertex is located on -1 + -2 I know that is facing up because a is positive one so I know it's fixing up okay so for right now that's all I'm interested in you being able okay alright let's keep going okay what if we're giving a problem and it's in intercept form and we don't really see this as much but I do want you to know okay this is going to be in FFX is equal to a x minus p x minus Q form okay and where p and Q are X intercepts so he's going to be the same value as going to be indicative of is it going to be why does it going to be narrow if it's positive it'll say stuff is negative it's in the face down all right let's go let's go straight into this one what's the temperature on number three I'm so this is the same directions okay so I'm going to try to graph this well f f of x has it gotten Negative X + 1 x + 5 so far this one what's unique is I need to find where my X intercepts are so I'm going to set each one equal to zero expose 1 is equal to zero when I subtract 1 negative one x + 5 is equal to 0 I want to subtract 5 by 2 intercepts are in Mexico is -1 + x -5 remember that there is a negative one here. So let's not forget that if I graph this I have a point at -1 + -2 + -3 + -4 + 8 + 5 no appointment needed a fight Bowser my x intercept that goes along the x-axis intersect the x-axis at -1 and -5 is -1 so as faces down so I know that it's facing down so if I had to sketch I know that it's going to do something like this where is the top where is my Vertex or how do I calculate that what is the space between -1 and -4 it is 4 units 4 units / 2 2 units so from either intercept I'm going to go towards the middle if I go towards the middle -1 2 3 + -3 is mine axis of symmetry is f x equals negative 3 eyelid did that buy where the graphs of my intercepts are okay it is possible since we're dividing by two that you're going to be at like a -2.5 or -5.5 except because you're dividing The Distance by 2 and that's okay okay since I have Max's asymmetry I'm going to go back and do exactly what I did for the previous problem I want to substitute that into find my vertex to the original problem okay why is it called the negative one and then I'm going to put -3 + 1 and then -3 + 5 the simplify that out negative one negative three plus one is negative to negative plus 5 is positive 2 If I multiply all day. -1 * -4 is positive for my vertex it's located at negative three positive for don't want to go 1 2 3 4 at 4 so I can go ahead and connect at my graph that's going to look like that Peppa Pig -3, 4 okay let's have you guys try one okay let's go back to what we did last okay so I'm going to have you guys do the one in vertex form this example number for I want you to try to graph find the vertex axis of symmetry and the valley of a okay for this problem G of X is equal to 2 times what's -2 squared + let's do 3 go deposit out here and let's see if you remember how to do this from our first note session this week when you're done with the problem then press play and then come back and finish the problem all right if you're ready to Green that's going to continue to this first of all ASU positive to which lets me know that this face is up my negative each H is negative to which I'm going to take out positive 2K is 3 same sign opposite sign for H same time 4K my vertex is that two, three my Axis of Symmetry at remember is that X value of my vertex which is to okay a is positive to Guess that lets me know faces out but it's also has a vertical stretch to which will naturally take into account. Graphing in the most important point two, three right to up one two three resume for textbooks vertex is at 2, 3 what what do I do for my graph remember I've always lived here normally I do my ex-wife turn Okay and then from my vertex which is 0-0 remember don't forget okay usually my shape is one for one turn on each side because negative one squared is positive one negative 2 squared is for positive one squared is one positive to support us for that's how I got those numbers that's my normal shape if it was positive one but it's not es positive 2 so I'm going to do y x to hear so I'm literally going to take 4 x 2 at 8 take one multiply that by 2 to vertex doesn't matter zr1000 that's my birthday anyways I'm not going to do any for that point and then it's going to be symmetrical on the other side so I'm going to go right to write one up to that's why I'm going to go left one up to and those are those two points okay I'm also going to go right to update so 1 2 3 4 5 6 7 8 she's right there and then I'm going to go left to which is right there at what point is that three four five six seven eight nine 10 11 that at 11 so this must be a 0/11 and this must be at 1 4/11 I thought this is a review from all weekend in the first are nuts okay noticed that were using the air repeatedly we're trying find axis of symmetry we're trying to find the vertex every single time so there are some similarities to how the problem starts out whether it's in vertex form which is from Monday or Tuesday and then today or the intercept form standard form we're still no matter how the problem starts out with we're trying to get to the correct graph alright here's the second assignment of the week it 2.2 review please make sure you put this on top of every single paper that you do I want you to do four through 14 even and remember I want you to grab every single problem please use a straightedge or ruler okay some of these are going to be pretty easy some of these are going to be harder than you're going to have preference to probably either like the standard form or the vertex form so and those are the two I really want us to how to do an focus on Pfeiffer graphing quadratics okay go ahead and work on this so you can have two sets of notes to take a screen as a second set of notes and then you have your Monday or Tuesday notes and then you do 2.1 and 2.2 you can't that's all what we're doing for this week okay go ahead and complete those assignments and you can start submitting at this afternoon make sure that you include the assignment title your name Algebra 2 NCR in your class name as well in your email subject I remember that this week's assignment titles 2.1 + 2.2 review assignment packet okay thanks for joining us today I have a wonderful day. Get your  M packet down and get that turned in at remember that this Friday at 3 is the last day and opportunity this week to I'm turning any late work so make sure you get that all done okay if not I'll see you on Monday or Tuesday depending on what they have me next week please get your assignments done have a wonderful day bye bye

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Algebra 2 MCR 2.1-2.2 Review Notes

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