1. Daily Check
If a quadratic decreases from 2 < x < ∞ and the vertex is at (2, -3), how many x intercepts would the quadratic have?
A quadratic has a vertex at (-1, -2) and a range y ≥ -2. What are the intervals of increasing and decreasing?
A quadratic has a vertex (4, 3) and increases from -∞ < x < 4. What is the range?

2. What are the steps to convert from vertex to standard form?
Math II Day 4 ( )
UNIT QUESTION: How are real life scenarios represented by quadratic functions?
Standard: MM2A3, MM2A4
Today’s Question:
What are the steps to convert from vertex to standard form?
Standard: MM2A3.b.

3. Graph: y = (x + 4)2 - 3 Vertex Form
Ask students… why is this equation in the form called vertex form? Have them take out their homework again to explore this.

4. Vertex Form f(x) = a(x – h)2 + k vertex form Equation Vertex
Axis of Symmetry
y = (x – 5)2 – 1
y = 4x2 + 2
y = -(x – 3)2

5. Vertex Form
f(x) = a(x – h)2 + k
Standard Form
f(x) = ax2 + bx + c

6. Vertex to standard form
STEPS
y = 3(x – 1)2 + 8
Rewrite so you have 2 sets
of parentheses
2. Multiply using F.O.I.L
3. Combine like terms inside
the parenthesis
4. Distribute the a value
5. Combine like terms

7. Practice
y = -(x – 4) y = (x + 6)2 - 5

8. Practice
Workbook Page 68 #16-21

9. Assignment
Book Page 66 #25-33
and Page 68 #27, 28