9.5 Graphing Quadratics- Parabolas
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1 Algebra G w0ka6o tkjuptnac asuoffzttwtarr]eg ]LGLXCX. q gaalxln lrxifgthftqsq Nrae_seXrcvveEdf. 9. Graphing Quadratics- Parabolas Name ID: Date Algebra Make sure each person in our group has a worksheet and a graphing calculator. You should complete the worksheet in pencil!!!! ) Consider the quadratic: = a. Go to Y= in the graphing calculator and clear out anthing that is in the =. b. Enter the quadratic equation above into Y. c. Go to the TABLE in the calculator (click nd then graph - upper right hand corner). d. Fill in the table below: e. Using the information ou got from the table, graph the parabola: ) The VERTEX of a parabola is the maimum or minimum point on the graph (the top or bottom of the arch). Use the GREEN pen to draw a dot on the VERTEX of our parabola. What are the coordinates of the verte from our eample problem: J aw0b_6w TKuLtiaa [Sjo`f\t[wGacret tlslxck.` s A]lpld vrjiagshztgsk crueaspemrfvwewdz.t r umeardiev owdictchp hipnmfhiwnwitje OAsl^gmeobkrjaF uw. - Worksheet b Kuta Software LLC
2 ) The ROOTS of ZEROS of a parabola are where the parabola crosses the -ais. Use the BLUE pen to draw dots on the roots of our parabola. The values of our roots are = and = ) The AXIS OF SYMMETRY (AoS) is the equation of the vertical line that goes right through the verte. Use the RED pen to draw a dotted vertical line on our parabola. The equation of the ais of smmetr is = ) What ar the corrdinates of the verte: 6) What ar the corrdinates of the verte: C oa0lo6z \KauttdaT GSwoGfptbwMaerhel ulqljcf.m b ]ABlUlH [rkiegfhltnsg SrmeYsYecrjveemdi.J u `MMafdie^ ew_iqtqhr SIIn\f_iTnOiEtCeK GAolHgYeWbLrKap YO. - Worksheet b Kuta Software LLC
3 7) What ar the corrdinates of the verte: 8) What ar the corrdinates of the verte: 9) Follow the same process as in # for the following quadratic: = - +. Look at the graph of the parabola. Use the TRACE button to move the flash blink gu around th graph, what is the approimate coordinates of the verte? Fill in the table: And graph the parabola with AT LEAST FIVE POINTS! The first point should be the VERTEX and then add at least points on either side of the verte! If the parabola has roots, be sure to include those on our graph! Verte: AOS: Roots: m rv0ve6_ tkeuvtxap msaozfut^wkahrkei MLILwCu.h w maglwlc drxi_gqhktisb zrcersherrjvjeidk.l emvamdneo gw\i_tdhg RIonTf\iNnHi^tLeN waulxgbeebwroau rf. - Worksheet b Kuta Software LLC
4 Practice: Remember, the standard form of a quadratic is = a + b + c! 0) a. Cop down the table for the quadratic equation in the net problem (use the values that are shown on the graph) ) = b. Verte: Roots: AoS: ) a. Cop down the table for the quadratic equation in the net problem (use the values that are shown on the graph) b. Verte: Roots: AoS: ) = ) a. Cop down the table for the quadratic equation in the net problem (use the values that are shown on the graph) b. Verte: Roots: AoS: ) = X UI0Tp6h qkzuztcai lsuoofat^wja_roe_ WLjLvCY.n [ ^AVl_l kroibg]hqtwsx irzejskesrdvpeld\.a [ NMda]djen ^wviktjho OIln^fFiSndiVtPef \AGlZggeGbarTad br. - Worksheet b Kuta Software LLC
5 Sketch the graph of each function. You should enter it into our calculator, and look at the table to graph it, but ou do not have to cop down the table. 6) = ) = ) THE STANDARD FORM OF A QUADRATIC EQUATION FOR GRAPHING IS: THE VERTEX OF A PARABOLA IS: AND IS ALWAYS A THE AXIS OF SYMMETRY IS AND IS IN THE FORM: THE ROOTS OR ZEROS OF A PARABOLA ARE AND ARE IN THE FORM: When graphing a parbola I must alwas first graph the:, then add at least more points, on either side of the verte. If the parabol has, I should graph those too! T u0zh6z WKbu_t_ab _SfoEfethwSazrMeg YLPLcCL.\ M FAalml Yrnihg^hWtgsC drpeasdesrfvlehdh.q r tm`acdek GwGizthU DInafKilnoiBt_eK aaul_gle^birrai RB. - Worksheet b Kuta Software LLC
6 Solve each equation b factoring, completing the square or using the quadtratic formula. 9) r - 8r + = 0 0) n - n - = -9 ) = - 6 ) = 7-0 Find the discriminant of each quadratic equation then state the number and tpe of solutions. ) a - 0 = 9a ) p = p + 8 Y _l0xh6o XKvuFt`aD fsqopfmtiwoarrreo \LYLhCc.\ \ jajlolx JroiwgGh]tIsT wrpesszelrdvjebdr.b w FMPadqeJ wgi[thhe VIJn`fQienwi^tSeJ pakligfeyb_rtal J. -6- Worksheet b Kuta Software LLC
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