2.2 Transformers: More Than Meets the y s
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1 10 SECONDARY MATH II // MODULE 2 STRUCTURES OF EXPRESSIONS 2.2 Transformers: More Than Meets the y s A Solidify Understanding Task Writetheequationforeachproblembelow.Useasecond representationtocheckyourequation. 1. Theareaofasquarewithsidelengthx,wherethesidelengthisdecreasedby3,theareais multipliedby2andthen4squareunitsareaddedtothearea www.flickr.com/photos/nuage_de_lait Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org
2 SECONDARY MATH II // MODULE 2 STRUCTURES OF EXPRESSIONS 3. x f(x) A4 7 A3 2 A2 A1 A1 A2 0 A Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org
3 12 SECONDARY MATH II // MODULE 2 STRUCTURES OF EXPRESSIONS Grapheachequationwithoutusingtechnology.Besuretohavetheexactvertexandatleast twocorrectpointsoneithersideofthelineofsymmetry. 5. = = ( + 2) 5 7. h = 3( 1) Given: = ( h) + a. Whatpointisthevertexoftheparabola? b. Whatistheequationofthelineofsymmetry? c. Howcanyoutelliftheparabolaopensupordown? d. Howdoyouidentifythedilation? 9. Doesitmatterinwhichorderthetransformationsaredone?Explainwhyorwhynot. Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org
4 Name: Structures(of(Expressions( 2.2( Ready, Set, Go Ready Topic: Standard form of a quadratic equation 2013www.flickr.com/photos/nuage_de_lait/ The standard form of a quadratic equation is defined as y = ax + bx + c, (a 0). Identify a, b, and c in the following equations. Example: Given 4x + 7x 6, a = 4, b = 7, and c = y = 5x + 3x y = x 7x y = 2x + 3x 4. y = 6x 5 5. y = 3x + 4x 6. y = 8x 5x 2 Multiply and write each product in the form y = ax 2 + bx + c. Then identify a, b, and c. 7. y = x x 4 8. y = x 1 2x 1 9. y = 3x 2 3x y = x + 6 x y = x y = x + 5 SECONDARY II // MODULE 2 Licensed under the Creative Commons Attribution CC BY 4.0
5 Set Structures(of(Expressions( 2.2( Topic: Graphing a standard = parabola 13. Graph the equation y = x. a. State the vertex of the parabola. Include at least 3 accurate points on each side of the axis of symmetry. b. Complete the table of values for y = x.?3?2? Topic: Writing the equation of a transformed parabola in vertex form. Find a value for such that the graph will have the specified number of x-intercepts. 14. = = = + 2 (x-intercepts) 1 (x-intercept) no (x-intercepts) 17. y = x + ω 18. y = x + ω 19. y = x + ω 2 (x-intercepts) 1 (x-intercept) no (x-intercepts) Graph the following equations. State the vertex. (Be accurate with your key points and shape) 20. y = x y = x y = 2 x Vertex? Vertex? Vertex? SECONDARY II // MODULE 2 Licensed under the Creative Commons Attribution CC BY 4.0
6 Structures(of(Expressions( 2.2( 23. y = x y = x y = 0.5 x Vertex? Vertex? Vertex? Go Topic: Features of a parabola. Use the table to identify the vertex, the equation for the axis of symmetry (AoS), and state the number of x-intercept(s) the parabola will have, if any. State whether the vertex will be a minimum or a maximum. 26. x y?4?3?2? ?2?5?6?5?2 27. x y?2? x y?7?6?5?4?3?2?1? ?9?29? x y?8?7?6?5?4?3?2?9?8?9?12?17?24?33 a. b. c. d. Vertex: AoS: x-int(s): a. b. c. d. Vertex: AoS: x-int(s): a. b. c. d. Vertex: AoS: x-int(s): a. b. c. d. Vertex: AoS: x-int(s): SECONDARY II // MODULE 2 Licensed under the Creative Commons Attribution CC BY 4.0
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