Kuta Software Infinite Algebra 2 Writing Equations Of Parabolas
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Transcript of Vertex Form of Parabolas - Kuta Software Form of...Vertex Form of Parabolas Date_____ Period____ Use
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U U2b0D1S2Z PKPu6tRaT bSToAfSt1wLaRrceE 2LWLICs.c m WAKlWlP Yrnilgahhtls4 LrSe2sTe5rDv6eRdx.o T NMuacdKeM OwBiEtyhW 7IonBfziCnAiLtZeD nAyligUeebwr1aN e2H.h Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________Vertex Form of Parabolas
Use the information provided to write the vertex form equation of each parabola.
1)
y =
x2 + 16
x + 71 2)
y =
x2 2
x 5
3)
y =
x2 14
x 59 4)
y =
2
x2 + 36
x + 170
5)
y =
x2 12
x + 46 6)
y =
x2 + 4
x
7)
y =
x2 6
x + 5 8)
y =
(
x + 5)(
x + 4)
9)
1
2(
y + 4) =
(
x 7)210)
6
x2 + 12
x +
y + 13 = 0
11)
162
x + 731 =
y 9
x2 12)
x2 12
x +
y + 40 = 0
13)
y =
x2 + 10
x + 33 14)
y + 6 =
(
x + 3)2
-1-
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u k2F0W1c2K aKduOtEaO jSsoRfntbwxa0rBeG yLvL7CW.F h uAdlLlB yrriOguhztfsj srUeOs0evrYv3eTdt.1 r DMJaldseo BwPiEtihm PIenxfJilnoiVtkeI oALlLgReVbNrza4 b2w.2 Worksheet by Kuta Software LLC
Identify the vertex and axis of symmetry of each. Then sketch the graph.
15) f (x) =
3
(
x 2)2 4
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8
16) f (x) =
1
4
(
x 1)2 + 4
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8
17) f (x) =
1
4
(
x + 4)2 + 3
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8
18) f (x) =
1
4
(
x + 5)2 + 2
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8
19) f (x) =
2
(
x + 5)2 3
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8
20) f (x) =
(
x + 2)2 1
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8
-2-
-
C O2B071W2v gKAuXtEaj 2S4oxfNtNwhaarMe9 RLKLrCF.M 6 DAxlHlE 5rvitgrhDtoso urRewsBePrav9eid6.P 1 iMzaHd5eK HwSiItBh8 UIrnnfnirnoibtcee 3AelYgverbBria9 n2y.i Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________Vertex Form of Parabolas
Use the information provided to write the vertex form equation of each parabola.
1)
y =
x2 + 16
x + 71
y =
(
x + 8)2 + 7
2)
y =
x2 2
x 5
y =
(
x 1)2 6
3)
y =
x2 14
x 59
y =
(
x + 7)2 10
4)
y =
2
x2 + 36
x + 170
y =
2
(
x + 9)2 + 8
5)
y =
x2 12
x + 46
y =
(
x 6)2 + 10
6)
y =
x2 + 4
x
y =
(
x + 2)2 4
7)
y =
x2 6
x + 5
y =
(
x 3)2 4
8)
y =
(
x + 5)(
x + 4)
y =
(
x +
9
2)2
1
4
9)
1
2(
y + 4) =
(
x 7)2
y =
2
(
x 7)2 4
10)
6
x2 + 12
x +
y + 13 = 0
y =
6
(
x + 1)2 7
11)
162
x + 731 =
y 9
x2
y =
9
(
x + 9)2 2
12)
x2 12
x +
y + 40 = 0
y =
(
x 6)2 4
13)
y =
x2 + 10
x + 33
y =
(
x + 5)2 + 8
14)
y + 6 =
(
x + 3)2
y =
(
x + 3)2 6
-1-
-
5 H27031q24 EK4uIt1aw sSSo5fJtIwAaNr5e9 OL1LYCv.I y yAllulK trtiDgdhetgsx UrPe8sheQryvJebdc.k v bMnaOdzeI tw9iCt4hA lIvngfAiDnWiItweT 6AAlGg6eBbZrUat i2n.K Worksheet by Kuta Software LLC
Identify the vertex and axis of symmetry of each. Then sketch the graph.
15) f (x) =
3
(
x 2)2 4
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8Vertex: (2, 4)Axis of Sym.:
x = 2
16) f (x) =
1
4
(
x 1)2 + 4
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8Vertex: (1, 4)Axis of Sym.:
x = 1
17) f (x) =
1
4
(
x + 4)2 + 3
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8Vertex: (4, 3)Axis of Sym.:
x = 4
18) f (x) =
1
4
(
x + 5)2 + 2
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8Vertex: (5, 2)Axis of Sym.:
x = 5
19) f (x) =
2
(
x + 5)2 3
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8Vertex: (5, 3)Axis of Sym.:
x = 5
20) f (x) =
(
x + 2)2 1
x
y
8 6 4 2 2 4 6 8
8
6
4
2
2
4
6
8Vertex: (2, 1)Axis of Sym.:
x = 2
-2-
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Kuta Software Infinite Algebra 2 Writing Equations Of Parabolas
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