Chapter 4 Notes Packet On Quadratic Functions And Factoring Worksheet With Answers - Algebra 2 Page 4
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5Another useful form of the quadratic function is the vertex form: ________________________________.
GRAPH OF VERTEX FORM y = a(x − h)
2
+ k
The graph of y = a(x − h)
2
2
+ k is the parabola y = ax
translated ___________ h units and ___________ k
units.
•
The vertex is (___, ___).
•
The axis of symmetry is x = ___.
•
The graph opens up if a ___ 0 and down if a ___ 0.
Find the vertex of each parabola and graph.
(
)
=
+
2
−
13.)
y
x
1
2
y
10
9
8
7
6
5
4
3
2
1
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
-6
Vertex: _______
-7
-8
-9
-10
1
(
)
= −
−
2
+
14.)
y
x
1
5
3
y
10
9
8
7
6
5
4
3
2
1
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10
-1
-2
-3
-4
-5
-6
Vertex: _______
-7
-8
-9
-10
15.) Write a quadratic function in vertex form for the function whose graph has its vertex
at (-5, 4) and passes through the point (7, 1).
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