8 Student Guided Practice Solve the following equations1. 4x2 – 20 = 52. x2 + 8x + 16 = 49
9 Completing the square What is completing the square? Answer: If a quadratic expression of the form x2 + bx cannot model a square, you can add a term to form a perfect square trinomial. This is called completing the square.
12 Example #3Solve the equation by completing the square.x2 = 12x – 20
13 Example#4Solve the equation by completing the square18x + 3x2 = 45
14 Example #5 Solve each equation by completing the square. 1) problem #1 in completing the square worksheetp2 + 14p − 38 = 0
15 Student guided practice Do problems from worksheet 2-6 and
16 Writing quadratic functions in vertex form Recall the vertex form of a quadratic function from lesson: f(x) = a(x – h)2 + k, where the vertex is (h, k).You can complete the square to rewrite any quadratic function in vertex form.
17 Example #6 Write the function in vertex form, and identify its vertex. f(x) = x2 + 16x – 12
18 Example#7 Write the function in vertex form, and identify its vertex g(x) = 3x2 – 18x + 7
19 Student guided practice Write the function in vertex form, and identify its vertexg(x) = 3x2 – 18x + 7