3.4: Vertex to Standard Form Objectives: • Review expanding binomials • Change Vertex Form of a quadratic to Standard Form

Mental Math Mental Math Rewrite the expression as a power of a single variable, if possible a) ______ b) ______ c) ______

Concept: Squaring a Binomial To expand (x + 6)2 you may have learned how to FOIL. (First, Outer, Inner, Last) Recall: (x + 6)2 = (x + 6)(x + 6) Today, I will use the “Area” method + x 6 x2 6x 36 1. Create a 2 X 2 box and set it up as a multiplication times table. x2 + 6x + 6x + 36 = 2. Write out terms 3. Combine like terms x2 + 12x + 36

Concept: Change to Standard Form 1. Rewrite (x+1)² Multiply using FOIL (or area method) 3. Don’t forget your +2 4. Combine like terms (Standard Form)

Rewrite the quadratic function in standard form. Concept: Let’s Try This One!!! Rewrite the quadratic function in standard form.

Rewrite the quadratic functions in standard form. Concept: Your Turn!!! Rewrite the quadratic functions in standard form.

Homework: Practice Master 3.4