Quadratic Functions Working With Equations Worksheet With Answers Page 4
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9Math 2 (L1-6)
A.SSE.1, 2, 3, F.IF.8, A.REI.4
Assessment Title: Finding Forms of a Quadratic Summary
Unit 3: Quadratic Functions Working with Equations
PART 4: Standard Form to Vertex Form:
*Reason to change would be to identify vertex. This will require new knowledge in completing the
square.
2
Standard Form
y = x
+ 4x – 6
2
y = (x
+ 4x + 4) – 3 – 4
Add 4 to complete the square. Subtract 4 to
keep equation balanced.
2
Vertex Form
y = (x + 2)
– 7
Write in factored form, and simplify.
2
Standard Form
y = 2x
+ 4x – 10
2
y = 2(x
+ 2x – 5)
Factor out 2.
2
y = 2[(x
+ 2x + 1) – 5 – 1]
Add 1 to complete the square. Subtract 1 to
keep equation balanced.
2
y = 2[(x + 1)
– 6]
Write in factored form, and simplify.
2
Vertex Form
y = 2(x + 1)
- 12
Distribute 2.
TRY IT OUT: Write quadratic function in vertex form.
2
2
1.
y = x
+ 6x – 2
2.
y = x
+ 8x – 1
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3.
y = 2x
+ 4x + 6
4.
y = 3x
+ 12x – 6
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2
2
5.
y = x
+ 12x + 2
6.
y = x
+ 5x + 1
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