1220 .II '4? [E' Have you ever played Two Truths and a Lie? It is often used as a "get to know you" game at the start of a semester. What happens is that you first share three facts about yourself, two of which are true, and one of which is a lie. The other students in the class then try to figure out which two are the truths, and which is the lie. We are going to add one more truth, and use our knowledge of functions from this unit to play Three Truths and a Lie. Essentially, we are going to play the same game, but we will be working within the constraints of what we have learned this in unit to create our Three Truths and a Lie. Here is an example of Three -l- -_l B tvdsb.elearningontario.ca 1220 .II '4? E} "vll'll Iv "I'IIIII 'I IV VVIIU'I \"III'U VI what we have learned this in unit to create our Three Truths and a Lie. Here is an example of Three Truths and a Lie based on two distance time graphs. 1) On the first graph, the speed is 10 yards per second. 2) On the second graph, the speed is 2.5 yards per second. 3) Both of these graphs begin at the starting line. 4) The first graph is less steep than the second graph. Clearly, the first graph is more steep than the second graph, so this would be the lie in B tvdsb.elearningontario.ca 1220 .II '4? [E' n.- Iv V'U-u n... .3 III lvl 4) The first graph is less steep than the second graph. Clearly, the first graph is more steep than the second graph, so this would be the lie in this case. Rules: 1) Create an equation of a transformed function based on a radical parent function. For example, if ffJf] = ,5, mp), our transformed function, could be '(]|:.l':] = Sift2.1\") 1. 2) Given your equation, create three truths, and one lie. 3) Your four statements can be based on: 0 the different ways your function could be represented; - values you have found from if Lnr'iinn minnn' B tvdsb.elearningontario.ca 1220 .II '4? [E' transformed function, could be air) = lift21') 1- 2) Given your equation, create three truths, and one lie. 3) Your four statements can be based on: - the different ways your function could be represented; - values you have found from function notation; - representations of the inverse; - transformations that are occurring; and 0 the appearance of the graph. Try to make it so that your lie is not obvious. It should require some work for another student to determine which statement is a lie. 4) Post your Three Truths and a Lie to the discussion. You will be B tvdsb.elearningontario.ca 1220 .II 4? C} IuIIVLIVII IIV'MLIVII, - representations of the inverse; - transformations that are occurring; and o the appearance of the graph. Try to make it so that your lie is not obvious. It should require some work for another student to determine which statement is a lie. 4) Post your Three Truths and a Lie to the discussion. You will be responsible for deciding which statements are true and false for one other student's work. Join The Discussion 9 Communication B tvdsb.elearningontario.ca 1221 .II "3' C} a U U 1. Explain what the term inverse means with respect to a quadratic function. How are the domain and range of a quadratic function related to the domain and range of its inverse? 2. Your friend attempted to graph the equation ffm) = 2|;j.r 3)? 1. Based on their graph of the parent function (solid), and the transformed function (dashed) below, describe which transformations have been applied correctly, and which have not. Justify your answer. B 6 ' I I 1' l n I l t l I l I r I l I r I l | I I I r I l I f I l I r I r e I t I l I, I B tvdsb.elearningontario.ca 12:21 \"I "3' C} 3. Your friend attempted to describe the transformations applied to the graph of fir) = u\"? to give the equation gig-j] = 2Vm 1. They think the following transformations have been applied. Which transformations have been identified correctly, and which have not? Justify your answer. a) fiJ'] has been reflected vertically. b) ft.er has been stretched vertically by a factor of 2. c) fir] has been stretched horizontally by a factor of 3. d) fir) has been translated left 3 units. e) fir) has been translated up 1 unit. 4. Describe in words, the B tvdsb.elearningontario.ca 12:21 identified correctly, and which have not? Justify your answer. a) f(x) has been reflected vertically. b) f(x) has been stretched vertically by a factor of 2. c) f(x) has been stretched horizontally by a factor of 3. d) f(x) has been translated left 3 units. e) f() has been translated up 1 unit. 4. Describe in words, the transformations you would apply to f(x) = - to produce g(x) = -4f( 5(x + 2) - 1. Submit your work under the Assignment icon. Submit Your Work tvdsb.elearningontario.ca