Quadratic Functions p. 191 Embedded Assessment 3: Graphing Quadratic Functions and Solving Systems p. 223 Unit Overview This unit focuses on quadratic functions and equations. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. /PDFAnnotatorImg5 (0) Solve quadratic equations in one variable. Graph the function. Solo Practice. Edit. If you only see one function, then you wrote the function correctly, because they are the same function… You will write the equations of quadratic functions to model situations. The quadratic function is another parent function. 6. Important features of the parabola: 1. ... Quadratic Key Features Quiz . In fact these are usually the first curves studied by high school math students. If the graph of the quadratic polynomial touches the x-axis, then it has real and equal roots. >> Edit. /PDFAnnotatorImg4 (0) The graph of any quadratic function f (x) = a x 2 + b x + c, where a, b, and c are real numbers and a ≠ 0, is called a parabola. /Title (Microsoft Word - Notes Quadratic Functions) Key Features of Quadratic Functions DRAFT. View Lesson 2.1 Vertex Form of a Quadratic Function.pdf from MATH MISC at Lakes High School. Print off 8.1 Guided Notes **If you do not have a printer, that is okay, just take notes in your notebook! Name_____ Date _____ Class _____ Quadratic Functions – Identifying Key Features of Quadratic Graphs © Math Square by Pierceson Le 7 8 9 >> Use the method of completing the square to transform any quadratic equation in x into an equation of the … /Producer (PDF Annotator 2.0.0.258 [iSEDQuickPDF 5.14 \(www.sedtech.com\)]) /PDFAnnotatorImg7 (211) Graphing and Analyzing a Quadratic Function Learning Targets: • Graph a quadratic function. /Author (Bekki George) Explicit Instruction and Active Note-Taking: Key Features of Quadratic Functions 20 minutes I review the PowerPoint Slides: Intro. Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube. Notes LT1, Graph and Key Features of Quadratics. Quadratic Functions Summary KEY TERMS • parabola • vertical motion model • roots • second diff erences • general form of a quadratic function • factored form • vertex • axis of symmetry • vertex form LESSON 1 Up and Down or Down and Up AA1_TIG_TS_M05_T01.indd 891_TIG_TS_M05_T01.indd 89 116/04/18 10:08 PM6/04/18 10:08 PM . /Pages 3 0 R The parabola will open up when the a value is positive. A parabola for a quadratic function can open up or down, but not left or right. Quadratics . x��]ݯ,�Q�c�k+ql����Ł�,���!�R�K•x�yJ�!�ǒ�C�}����kv{wΞs�s��cWׯ��?�{v�����Y�����_����y��������~g�?������������Z�>�Z�w;�M�_��]�:JV������ҝj���I�S��� Yz��@�� Given a graph or equation of a quadratic function, the key features covered are: opening upward/downard, axis of symmetry, vertex/turning point, maximum/minimum, end behavior a���`��{hs�n��_@��������p���I����W���g��`�M�r=7��nZ�n]a1IkL^�ǺLB[����7cnd:����w��|��K&IJ�$�t�'�վ#U!U!�����7��=!��� identify key features of the quadratic functions. KEY FEATURES OF PARABOLAS: KEY FEATURES OF PARABOLAS: Fill in the y-intercept in . /PDFAnnotatorTranspImg7 (0) This quiz is incomplete! Quadratic function in this form is … Compare the graph with the graph of y = x2. Properties of Quadratic Functions Standard Form Y = ax2 + bx+c a < O parabola opens down a > O parabola opens up t lat > O graph is skinny lal 0 graph is wide y-intercept is (O, C) If b 0, then the vertex is on the y-axis. /LC /iSQP Common Core Standard F-IF.B.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. /ProcSet [ /PDF /Text ] Graphing Quadratic Functions Notes Example 3: Graph the function and identify key features. b. ‰Ñ 2œ‹²�—ıQÊ=ÄŒü³óHùºFèq�çÄÜf#Rì/æ‘ÖŒÈT)Ÿ2"^kG¾Û\LäB`l4Ï‚æa#²/°�Çu‰M'’°R‡;½KLÊ¿`w­õ3t拱ü}. Iq. From the vertex form, you can easily determine the vertex, (3, −4). ⃣Solve quadratic equations by factoring 4.5 Completing the Square ⃣Use the method of completing the square to transform any quad ratic equation into the form (x –p)2=q 4.6 Quadratic Formula ⃣Explain how to derive the quadratic formula from (x – p)2 = q. /PDFAnnotatorInk1 (base64:AKgBHAOAgAQdAgICAUDDtUpaZ6k1QoqJ4vbOrWV/yimrXNdfVEuIGu4Lajdi8mOQ9HS8GBdApJppT74AHCV9/iqiv8n5RqiB4jZS6BjuAxhIEUSAgPwHRSEbATaMRiEbATaMVw0AAAAZFDIIAMA0AgAAjkIzCAC0EAIAABBCEauq00FkCT4AFAAAAAAA/9BlAzYHgABmBDoA52AAZwMQMOEACgcBC2KAClSA ) 1 0 obj ; When graphing a parabola always find the vertex and the y-intercept.If the x-intercepts exist, find those as well.Also, be sure to find ordered pair solutions on either side of the line of symmetry, x = − b 2 a.
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