College Readiness Math ​U7C2 - Parabolas
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Date________________ Period____
Identify the vertex, focus, axis of symmetry, and directrix of each.
1) ​y =
​ ​(​x ​+ 5​)2​ ​- 3
Vertex: (-5,-3)
Focus: (-5,-11/4)
Directrix: -3.25
Axis of Sym: -5
2) ​x =
​ -3​(​y -​ 3​)2​ ​+ 4
Vertex: 4,3______________
Focus:21/2,3 _______________
Directrix: 10.5_____________
Axis of Sym: 3__________
3) ​x =
​ 2​(​y -​ 6​)2​ ​+ 1
Vertex:1,6 ______________
Focus: ⅛,6_______________
Directrix:.8875 _____________
Axis of Sym: 6__________
2​ (​x -​ 2​)​2 ​
4) ​y =
​ - ​ 3​
+1
Vertex: 2,1______________
Focus: 2,2/3_______________
Directrix:.333 _____________
Axis of Sym: 2__________
Use the information provided to write the vertex form equation of each parabola.
(​ )
-1/32(x-8)^2 +9
(​ )​
​
5) Vertex: ​(​8, 9​)​, Focus: ​
8, 71​
8​
6) Focus: ​ 47​ , -1​ , Directrix: ​x ​= 49​
8​
8 y=6-2(y+1)^2
35​
7) Vertex: ​(​4, -9​)​, Directrix: ​y ​= - ​
(​
y=-(x-4)-9
4​
)​
Focus: ​ - 15​ , 9​ , Directrix: ​x ​= - 17​
2​
2
x=½(y-9)^2 -8
15​
9) Vertex: ​(​6, 7​)​, Directrix: ​y ​= ​
2 ½(x-6)^2
(​
)
10) Vertex: ​(​-7, 8​)​, Focus: ​ - 29​ , 8​
​
4​
x= -(y+8)^2-7
Worksheet by Kuta Software LLC
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