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?

What are the steps to convert from vertex to standard form? Math II Day 4 (8-10-10) 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.

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.

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

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

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

Practice y = -(x – 4)2 + 3 y = (x + 6)2 - 5

Practice Workbook Page 68 #16-21

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