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Alg 1 10-1 Day 2 Graphing Square Root Functions

Added May 24, 2018 •

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aren't you guys so here is your day too and I'll go ahead and put G2 on here date you crappy and square root functions and your essential question what are some of the characteristics of a graph of a square root function doing is continuing what we did yesterday and just making sure that we have everything else so if you guys need to consume copy this go ahead and deposit here otherwise I'm going to go ahead and keep going there we go okay compare the graphs of the parent functions this is your warm up so go ahead call me on my warm up first on your notes and then all I want you guys to do is describe the Transformations is so you don't have to graph it or anything they just want to tell you they just want you to tell them is it a vertical stretch is a vertical string does it shift left or right the vertical shift up or down or translation translation the shifter the same thing is there a reflection over the x axis so this is practice right now take out your notes from yesterday because it tells you how you can tell whether it what it does and then the next thing you're going to see in a minute is the answers so go ahead and stop at write it down then answer the question okay so here are your answers for part A is reflection over the x-axis and that is because of the negative sign in the front right here horizontal shift left 3 remember you go the opposite so because this is a plus three you would go opposite of plus which is -2 which is to the left three vertical shift down for beef or is not under the radical is outside of the radical so that means it's a vertical shift down for down because it's negative can see reflection over the x-axis because of the negative sign in the front and then a vertical stretch by because that you was in front multiplying two back party vertical shrink by 1/2 cuz it's a fraction to the right for and vertical shift up 15 alright I'm going to go ahead and keep going if you guys need to pause to copy it down or make any changes go ahead and do so otherwise I'm going to go ahead and keep going alright so this is where we going to practice all the things like we did yesterday the only thing that's different here is that we now have negative sign for however our first step is still the same we got to figure out where the fur tax cancel my vertex take a second talk it over with your partner and figure out what is going to be the vertex of this crap also you guys probably need to pause right here anyway and copy down but you didn't before I keep going so pause figure out the vertex and copy down the directions and graph alright so what did you guys decide the vertex was hopefully you guys are saying 2-0 if you are give yourself patent that because you did it right good job and so two zeros going to go in this first spot on my table who says negative square root x - 2 + who remembers the pattern from yesterday what am I supposed to do to the chief single + 1/2 + 1 is 3 then we go + 3 + 3 + 3 is 6 and then one more time + 506.5 is 11 we're going to go ahead and pull up please in 3 - 2 is 1 what's the square root of 1 one but don't forget there's a negative on the outside so that our final answer is actually going to be negative alright the next one -6 - 2 what what's 6 - 2 or so we have negative square root for what's the square root of 4 two again don't forget about that negative sign out front so it's going to be negative 2 and then last but not least 11 - 2 Liv and Maddie what is 9 square root 9 X 3 final answer -3 as well so 2-0 3 negative 1 6 negative 2 City 45612 and 11 a.m. to 3 seven eight nine 10 11 they are three also if your back starts to get too big like 11th pretty large number it's okay to graph only three dots instead of all time they don't make graph will look like this now and then I want you to go ahead talk to your partner and talk about Joe me and arrange where we think you're domain and range for this function are going to be deposit here talk to your partner come up with an answer alright so you're still mean domain should still be pretty similar to so I'm thinking about dementia still be similar because it's going this way to the right going pause and you still need this x value from your vertex domain domain should be X is greater than or equal to 2 my range my range is going to be the one that's different now because for my range it's still going to be the Y value for my birthday text however now you guys see that it's swooping down so it's going to be Y is less than or equal to 0 because now my arrow isn't going down instead of pointing power Sue Ellen last but certainly not least it says compare the graph in anytime at this time describe the transformation so my transformation here what is the negative in the front do reflection over the x axis and then what is the minus to do Under The Radical first of all switches beside and it becomes a horizontal shift right to okay and then that's it for this problem go ahead and positive anybody needs to catch up and I'm alright so for this one go ahead and pause it here while you guys can copy down the directions and each part and then when you guys are ready go ahead and start it again to follow along with me soporte this time says describe the Transformations so we're going to do that part first everything else second I'm going to go ahead and type these so that way you guys have nice clean answers want to get the keyboard on so we have a negative in the front or the negative in the front is going to be a requested over the x axis the next one is a two right next to the negative and the stew is going to be a vertical stretch by 2 next one is the three under the radical horizontal shift right 3 and then last but certainly not least is the negative charge on the outside starts going to be a vertical shift down if you guys have any questions on that I'm sure there's plenty of people in the classrooms who understand what's going on and you guys can ask Dad and you guys are also kind to one another that you should be more than happy to help right hope so alright so when I take the keyboard off sorry so now we have to grab it so first step find the vertex talk it over Department Posite real quick what is the vertex talk that over hopefully guys are saying that the vertex tis three- to 3B opposite sides don't forget but the y-values days of State in the negative choosing to stay the same as X and then this is -2 square root x -3 in the noise to come outside be real careful with this like extra part of your radical that it only goes over the parts that it's supposed to go over so like I mean mine kind of long so I should actually make mine a little bit smaller so that the negative 2 doesn't look like it's going underneath the radical then gave to it outside the ride all right answer my vertex is -3 negative or positive 3 negative to someone to go ahead and play positive 3 negative 2 and then we're going to fall the pattern 3 + 1 is 4 4 a + 3 is 7 + 7 + 5 actually 7 + 5 is 12 so now I'm going to go ahead and plug these in summer -2 square root 4 - 3 - 204 - 3 is 1 square root 1 is 1 -2 * 1 is -2 negative 2 minus 2 is -4 hey write out the next one see how I didn't step some radical first then multiply and then protect the lists is 7 - 3 - 2 a 7-3 is forces does -2 square root 4 - 2 square root of 4 is too so -2 * 2 is -4 - 2 is -6 Anna last month 12 - 3 is 9 + tours at 9 the square root of 9 is 3 so negative 2 times 3 - 2 and that's -6 + -6 - 2 is -8 also you guys can feel free to plug that into a calculator with give you the same age go ahead and plot your points for me 3123 -1 to four negative four 567 Hate Story 2 and so again my graph is going downwards because of an egg out front and then go ahead and deposit here for me and you and your partner come up with the domain and range please so for your domain always the same x value is your vertex and the domain my Xbox user going positive so that means that my domain is X is greater than or equal to 3 range is the Y value that's going to be the same as your y value for your birthday text but this time I arrow is going down and so this is going to be Y is less than or equal to negative other than that going to do one more actually the last ones going to be for you and your partner to do together and then you guys will check your answers with mine after you guys are done so the last but not least if you guys need deposit here you can but laugh at least it's going to be this one so you know you guys have to grab it describe the transformations and the domain and range so give yourselves a couple minutes go ahead and all of that for me with your partner they don't go doing it by yourself sometimes people need help too okay guys so here's your answer your vertex should have been at negative to positive two and then your ex values are negative to negative 1 to 7 and your y value should have been 210 -1 so when he grabbed it should look like this over here on your right domain X is greater than or equal to negative 2 Y is less than or equal to 2 for your range your transformation is a reflection over the x-axis is a horizontal shift left and a vertical shift up to you guys can go ahead and leave this on the board if you need to check your answers make sure you got everything right or fix your mistake and then go ahead and grab a book cuz you guys can get started on your homework have a a great day bye

Uploaded by Lauren Stouffer.

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Alg 1 10-1 Day 2 Graphing Square Root Functions

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