Converting Vertex Form To Standard Form

1. Converting Vertex Form to Standard
Form
Remember to FOIL

2. Vertex to Standard Form
1. Rewrite the
binomial squared as
a binomial times a
binomial.
2
5( 3) 7y x= - +
( )5( 3) 3 7y x x= - - +

3. Vertex to Standard Form
2. Off to the side
F.O.I.L the two
binomials.
( )5( 3) 3 7y x x= - - +
( )
2
2
( 3) 3
3 3 9
6 9
x x
x x x
x x
- -
- - +
- + 3. Combine like terms.

4. Vertex to Standard Form
4. Replace the two
binomials with our
new trinomial
( )5( 3) 3 7y x x= - - +
You must use
Parenthesis!
2
5( 6 9) 7y x x= - + +

5. Vertex to Standard Form
5. Distribute the
monomial to the
trinomial.
6. Combine like terms.
2
5( 6 9) 7y x x= - + +
2
5 30 45 7y x x= - + +
2
5 30 52y x x= - +

6. Additional Examples
2
4( 8) 5y x=- - +
2
7( 4) 9y x= + -
2
7 56 103y x x= + +
2
4 64 251y x x=- + -
EXEX
ANSWERANSWER