Vertex Form Of A Parabola Worksheet - 11th Grade
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1Algebra 2
5-7B Vertex Form of a Parabola
Obj: able to write a quadratic function in vertex form by completing the square and analyze characteristics
Simplify
2
2
−
−
1
1
−
1. -3 + 3
2. 5 – 5
3.
2
2
4. What do you notice about the following two equations (quadratic functions)?
2
2
−
−
2
2
2
2
A. y = x
– 2x + 5
B. y = x
– 2x +
+ 5 –
2
2
2
The vertex form of a quadratic function is y = a(x – h)
+ k, with a ≠ 0.
Rewrite each equation in vertex form and then analyze.
2
2
5. y = x
– 10x – 5
6. y = x
+ 5x +3
2
Notice the quadratic term’s coefficient is not 1. Isolate the x
+ bx term. Then rewrite each equation in vertex form by
completing the square. Analyze.
2
2
2
7. y = 2x
– 8x +1
8. y = –2x
+ 6x +1
9. y = –3x
– 18x +11
2
2
y – 1=
(x
– 4x)
=
– 4
Complete the square.
+
=
– 4 +
+
=
−
=
− 2
− 4
− 1 = 2
− 2
− 8
= 2
− 2
− 7
Vertex is at (2, -7)
Opens upward
Axis of Symmetry: x = 2
y-intercept: (0, 1)
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