MM2A3. Students will analyze quadratic functions in the forms f(x) = ax 2 + bx + c and f(x) = a(x – h) 2 + k. a. Convert between standard and vertex form

MM2A3a Convert between standard and vertex form Standard Form y = ax 2 + bx + c where a 0 Vertex Form y = a(x – h) 2 + k where the vertex is (h,k) Ex. y = x 2 – 8x + 10y = (x – 4) So how do we get a quadratic function that is in standard form into vertex form??

MM2A3a Convert between standard and vertex form Step 1: Identify a, b, and c Step 2: find the vertex (h, k) x-coordinate (h) = y-coordinate (k) = substitute the value you found for the x-coordinate Step 3: Substitute a, h, and k into vertex form!

MM2A3a Convert between standard and vertex form

Convert the following to vertex form: y = (x – 3) Step 1: FOIL the binomial Step 2: Multiply the “a” term by what you just foiled Step 3: combine like terms!

MM2A3a Convert between standard and vertex form Convert the following to vertex form: y = 2(x – 4) 2 + 6

Homework: Vertex Form of Parabolas Worksheet WRITE PROBLEMS and SHOW WORK for credit!!