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Properties of Parabolas

Z m220f1M2u 7 Kmu4tYa3 hSuoLfotQw3aFr2eQ U LAelYle CrXiGgkhqtdsw 6 FM0aZdxet iwjiqtjhF qI7nvf9ibnWi8t5e0 0 AhlcgDe5bRrpaj by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Properties of ParabolasIdentify the vertex of ) y = x2 + 16 x + 642) y = 2 x2 4 x 23) y = x2 + 18 x 754) y = 3 x2 + 12 x 10 Graph each ) y = x2 2 x 3xy 8 6 4 22468 8 6 4 224686) y = x2 6 x 10xy 8 6 4 22468 8 6 4 22468 Identify the min/max value of each. Then sketch the ) f (x) = x2 + 8 x 20xy 8 6 4 22468 8 6 4 224688) f (x) = 13 x2 + 43 x 163xy 8 6 4 22468 8 6 4 22468-1- n P2h0S1e2e BKSu9tSaU XSuoHfCtAwea4rRe2 p aAElOlm 6rSiPgihLtisO r aMda4dlex Qw5iWt3hw nIdnkf0iZnsijtqez 5 AWldg8ewbgrVaL by Kuta Software LLC9) f (x) = x2 + 2 x 1xy 8 6 4 22468 8 6 4 2246810) f (x) = x2 10 x 30xy 8 6 4 22468 8 6 4 22468 Identify the vertex, axis of symmetry, and min/max value of ) f (x) = 3 x2 54 x + 24112) f (x) = x2 18 x + 8613) f (x) = 45 x2 + 485 x 114514) f (x) = 2 x2 20 x 4615) f (x) = 14 x2 + 716) f (x) = x2 12 x + 4417) f (x) = 14 x2 x + 918) f (x) = x2 + 4 x + 5-2- G 62T0N1X2r ZKIuktjaM oSiogfWt7wFaLrIee O bAVl8lh RrQirguhgtWsP x TMIaOdReh dwjigtJhe 2 IdnwffiMnniotze2 TA6lzgUe0bTroam by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Properties of ParabolasIdent

©n P2h0S1 e2e BKSu9t SaU XSuoHfCtAwea 4r Re 2 9LtLEC1. m p aA El Olm 6r SiPgih Ltis O urye fs wePrYvQevdy.h r aMda4dle x Qw5iWt3hw nIdnkf 0iZnsi jtqe z 5AWldg8ewbgrVaL 52 E.F Worksheet by Kuta Software LLC

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Transcription of Properties of Parabolas

1 Z m220f1M2u 7 Kmu4tYa3 hSuoLfotQw3aFr2eQ U LAelYle CrXiGgkhqtdsw 6 FM0aZdxet iwjiqtjhF qI7nvf9ibnWi8t5e0 0 AhlcgDe5bRrpaj by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Properties of ParabolasIdentify the vertex of ) y = x2 + 16 x + 642) y = 2 x2 4 x 23) y = x2 + 18 x 754) y = 3 x2 + 12 x 10 Graph each ) y = x2 2 x 3xy 8 6 4 22468 8 6 4 224686) y = x2 6 x 10xy 8 6 4 22468 8 6 4 22468 Identify the min/max value of each. Then sketch the ) f (x) = x2 + 8 x 20xy 8 6 4 22468 8 6 4 224688) f (x) = 13 x2 + 43 x 163xy 8 6 4 22468 8 6 4 22468-1- n P2h0S1e2e BKSu9tSaU XSuoHfCtAwea4rRe2 p aAElOlm 6rSiPgihLtisO r aMda4dlex Qw5iWt3hw nIdnkf0iZnsijtqez 5 AWldg8ewbgrVaL by Kuta Software LLC9) f (x) = x2 + 2 x 1xy 8 6 4 22468 8 6 4 2246810) f (x) = x2 10 x 30xy 8 6 4 22468 8 6 4 22468 Identify the vertex, axis of symmetry, and min/max value of ) f (x) = 3 x2 54 x + 24112) f (x) = x2 18 x + 8613) f (x) = 45 x2 + 485 x 114514) f (x) = 2 x2 20 x 4615) f (x) = 14 x2 + 716) f (x) = x2 12 x + 4417) f (x) = 14 x2 x + 918) f (x) = x2 + 4 x + 5-2- G 62T0N1X2r ZKIuktjaM oSiogfWt7wFaLrIee O bAVl8lh RrQirguhgtWsP x TMIaOdReh dwjigtJhe 2 IdnwffiMnniotze2 TA6lzgUe0bTroam by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Properties of ParabolasIdentify the vertex of )

2 Y = x2 + 16 x + 64( 8, 0)2) y = 2 x2 4 x 2(1, 4)3) y = x2 + 18 x 75(9, 6)4) y = 3 x2 + 12 x 10(2, 2)Graph each ) y = x2 2 x 3xy 8 6 4 22468 8 6 4 224686) y = x2 6 x 10xy 8 6 4 22468 8 6 4 22468 Identify the min/max value of each. Then sketch the ) f (x) = x2 + 8 x 20xy 8 6 4 22468 8 6 4 22468 Max value = 48) f (x) = 13 x2 + 43 x 163xy 8 6 4 22468 8 6 4 22468 Max value = 4-1- G q2J0g1q2b sKZu1tSa3 pSuolfrtAwIamrhei 6 TAUlBls ErgiZgmh3tSsJ G eMRaGd9ei SweiatahD uIqn9fuiCnYiItle4 yAVlhgKeMbMrhaA by Kuta Software LLC9) f (x) = x2 + 2 x 1xy 8 6 4 22468 8 6 4 22468 Min value = 210) f (x) = x2 10 x 30xy 8 6 4 22468 8 6 4 22468 Max value = 5 Identify the vertex, axis of symmetry, and min/max value of ) f (x) = 3 x2 54 x + 241 Vertex: (9, 2)Axis of Sym.: x = 9 Min value = 212) f (x) = x2 18 x + 86 Vertex: (9, 5)Axis of Sym.: x = 9 Min value = 513) f (x) = 45 x2 + 485 x 1145 Vertex: (6, 6)Axis of Sym.

3 : x = 6 Max value = 614) f (x) = 2 x2 20 x 46 Vertex: ( 5, 4)Axis of Sym.: x = 5 Max value = 415) f (x) = 14 x2 + 7 Vertex: (0, 7)Axis of Sym.: x = 0 Max value = 716) f (x) = x2 12 x + 44 Vertex: (6, 8)Axis of Sym.: x = 6 Min value = 817) f (x) = 14 x2 x + 9 Vertex: (2, 8)Axis of Sym.: x = 2 Min value = 818) f (x) = x2 + 4 x + 5 Vertex: ( 2, 1)Axis of Sym.: x = 2 Min value = 1-2-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at


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