You Complete Me Yesterday we saw that there are many ways to write the equation of a quadratic, depending on what features we want to highlight about the parabola. We saw that vertex form is very helpful for seeing the transformations that occurred. But how do we get there? Let's explore. 1. Write the letter of the equation for each parabola on the graph. A. y = x2 +2x+1 B. y = (x-5)2 C. y = x2+6x+9 2. What do all of these parabolas have in common? How can you tell this from their equation? 3. Jamiel used the diagram below to 4. Use Jamiel's method to write the show that y = (x + 5)2 can be written parabola y = (x + 4)2 in standard as y = x2 + 10x + 25. Can you make form. sense of how his method works? x + 5 * +5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5. Rearrange the given pieces of the parabola y = x2 + 6x + 9 to make a square. Draw the configuration to the right. X X 1 1 1 6. How did you decide what the side length of the square should be? 7. What is the vertex of this parabola? Math Medic