Math 154B Name_____ Solving Using the Quadratic Formula Worksheet The Quadratic Formula : For Quadratic equations : 02cbxax, aacbbx242 Solve each equation Using the Quadratic Formula . 1. 0201142xx 2. 02452xx 3. 332xx 4. xx552 5. 12xx 6. xx8142 7. 015742xx 8. 01032xx 9. 32xx 10. xx142322 11. 4822xx 12. xx183922 13. 01352xx 14. 1255052xx Answers: 1. 4,45xx 2. 3,8xx 3. 2213x 4. 255x 5. 251x 6. 252x 7. 3,45xx 8. 5,2xx 9. 2131x 10. 237x 11. 6,8xx 12. 239x 13. x = not a real number 14. 5x Show Solving Using the Quadratic Formula Worksheet The Quadratic Formula: For quadratic equations: ax 2 bx c 0, a b b ac x 2 2 4 Solve each equation using the Quadratic Formula. 1. 4x 2 11x 20 0 2. x 2 5x 24 0 3. x2 3x 3 4. x2 5 5x 5. x2 x 1 6. 4x2 1 8x 7. 4x 2 7x 15 0 8. x 2 3x 10 0. 9. 1 Math 154B Name_____ Solving Using the Quadratic Formula Worksheet The Quadratic Formula : For Quadratic equations : 02cbxax, aacbbx242 Solve each equation Using the Quadratic Formula . 1. 0201142xx 2. 02452xx 3. 332xx 4. xx552 5. 12xx 6. xx8142 7. 015742xx 8.
01032xx 9. 32xx 10. xx142322 11. 4822xx 12. xx183922 13. 01352xx 14. 1255052xx Answers: 1. 4,45xx 2. 3,8xx 3. 2213x 4. 255x 5. 251x 6. 252x 7. 3,45xx 8. 5,2xx 9. 2131x 10. 237x 11. 6,8xx 12. 239x 13. x = not a real number 14. 5x ISU Grand Prix of Figure Skating Final 2018, Vancouver, BC ...www.isuresults.com ISU Grand Prix of Figure Skating Final® 2018, Vancouver, BC / Canada ISU Junior Grand Prix of Figure Skating Final 2018, Vancouver, BC / Canada Homework Help This preview shows page 1 - 2 out of 2 pages. Math 154BName_____________________Solving Using the Quadratic Formula WorksheetThe Quadratic Formula:For quadratic equations:02cbxaxaacbbx242Solve each equation using the Quadratic Formula., Get answer to your question and much more 9.32xx10.xx14232211.4822xx12.xx18392213.01352xx14.12550 End of preview. Want to read all 2 pages? Upload your study docs or become a Course Hero member to access this document Math 154B Name_____________________ Solving Using the Quadratic Formula Worksheet The Quadratic Formula: For quadratic equations: ax 2 bx c 0 , a b b ac x 2 24Solve each equation using the Quadratic Formula. 1. 4 x 211 x 20 0 2. x 25 x 24 0
8. x 23 x 10 09. x 2 x 310. 2 x 22314 x11. x 22 x 4812. 2 x 23918 x13. 5 x 23 x 1 0 14. 5 x 250 x 125Answers:
x 5 x
x 321 4.2x 55 5. 2x 15 6.2x 25 x 5 x
x 113 10.2x 73 11. x ,8 x 612.29 3x
©Z m 220 f 1 M 2 u 7 Kmu 4 tYa 3 hSuoLfotQw 3 aFr 2 eQ 6 LqLFC 0 .t U LAelYle CrXiGgkhqtdsw CrgeNsHeArWvke 0 dG 6 FM 0 aZdxet iwjiqtjhF qI 7 nvf 9 ibnWi 8 t 5 e 0 0 AhlcgDe 5 bRrpaj k 2 E. 4 Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name___________________________________ Properties of Parabolas Date________________ Period____Identify the vertex of each.
y = − x 2 + 18 x − 75 4) y = − x 2 + 12 x − 10 Graph each equation.
x y −8 −6 −4 −2 2 4 6 8 − − − − 2 4 6 8 6)y = − x 2 − 6 x − 10 x y −8 −6 −4 −2 2 4 6 8 − − − − 2 4 6 8 Identify the min/max value of each. Then sketch the graph.
x y −8 −6 −4 −2 2 4 6 8 − − − − 2 4 6 8
x 2 + 43x − 163x y −8 −6 −4 −2 2 4 6 8 − − − − 2 4 6 8 -1- ©n P 2 h 0 S 1 e 2 e BKSu 9 tSaU XSuoHfCtAwea 4 rRe 2 9 LtLEC 1 .m p aAElOlm 6 rSiPgihLtisO uryefswePrYvQevdy r aMda 4 dlex Qw 5 iWt 3 hw nIdnkf 0 iZnsijtqez 5 AWldg 8 ewbgrVaL 52 E Worksheet by Kuta Software LLC
x y −8 −6 −4 −2 2 4 6 8 − − − − 2 4 6 8
x y −8 −6 −4 −2 2 4 6 8 − − − − 2 4 6 8 Identify the vertex, axis of symmetry, and min/max value of each.
x 2 + 485x −
x 2 + 7
x 2 − x + 9
-2- ©G q 2 J 0 g 1 q 2 b sKZu 1 tSa 3 pSuolfrtAwIamrhei tL 1 LICh. 5 6 TAUlBls ErgiZgmh 3 tSsJ 7 rveYshe 5 rGvyecdX G eMRaGd 9 ei SweiatahD uIqn 9 fuiCnYiItle 4 yAVlhgKeMbMrhaA N 2 h Worksheet by Kuta Software LLC
x y −8 −6 −4 −2 2 4 6 8 − − − − 2 4 6 8 Min value = −
x y −8 −6 −4 −2 2 4 6 8 − − − − 2 4 6 8 Max value = − Identify the vertex, axis of symmetry, and min/max value of each.
Vertex: ( 9 , −2)Axis of Sym.: x = 9 Min value = −
Vertex: ( 9 , 5 )Axis of Sym.: x = 9 Min value = 5
x 2 + 485x − 1145Vertex: ( 6 , 6 )Axis of Sym.: x = 6 Max value = 6
Vertex: (−5, 4 )Axis of Sym.: x = − Max value = 4
x 2 + 7 Vertex: ( 0 , 7 )Axis of Sym.: x = 0 Max value = 7
Vertex: ( 6 , 8 )Axis of Sym.: x = 6 Min value = 8
x 2 − x + 9 Vertex: ( 2 , 8 )Axis of Sym.: x = 2 Min value = 8
Vertex: (−2, 1 )Axis of Sym.: x = − Min value = 1 -2- Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware Sketching Quadratic EquationsA sketch graph of a quadratic function should illustrate the following:
You DO NOT need to measure out an accurate scale on a sketch graph, as long as you have provided the information listed above. Sketch graphs of the following quadratic equations, showing y-intercepts, roots, and the vertex. a. y x 2 11 x 10 b. y x 2 12 x 32 c. y x 2 6 x 5 d. y x 2 8 x 15 e. y x 2 12 x f. y x 2 5 x g. y x 2 10 x 21 h. y x 2 11 x 10 i. y 2 x 2 13 x 7 j. y 2 x 2 5 x 12 k. l. y x 2 4 x 4 y x 2 6 x 9 g. shape: x 2 y–intercept: (0, – 21) Roots: (3, 0) and (7, 0) Vertex: (5, 4) h. shape: x 2 y–intercept: (0, – 10) Roots: (1, 0) and (10, 0) Vertex: (5, 20). i. shape: x 2 y–intercept: (0, – 7) Roots: (– 7 ,0) and (0 ,0) Vertex at (– 3, – 28) j. shape: x 2 y–intercept: (0, – 12) Roots at (– 4, 0) and (1, 0) Vertex at (– 1, – 15) k. shape: x 2 y–intercept: (0, 4) double zero and Vertex at (2, 0) l. shape: x 2 y–intercept: (0, – 9) double zero and Vertex at (3, 0) 0 5 10 -2 -1 0 1 2 3 4 5 6 7 8 9 10 y x 0 10 20 -5 0 5 10 15 x y 0 5 10 15 20 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 x y -16- -8- 04 8 12 -6 -4 -2 0 2 4 y x |
Math 154b solving using the quadratic formula worksheet
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