Daily Check Give the transformations for each of the following functions? 1)f(x) = (x - 2) )f(x) = -3x 2 3)f(x) = ½ (x+3) 2 Write the equation in vertex form for the following graph.

Warm-up Multiply out each of the following functions. 1)y = (x – 1) )y = 2(x + 3) 2 – 5 3)y = -(x – 4) )y = 2(x + 1) 2 – 2 This is how you convert from vertex form to standard form.

CCGPS Geometry Day 23 (9-4-14) UNIT QUESTION: How are real life scenarios represented by quadratic functions? Today’s Question: How do we change from standard form to vertex form of a quadratic? Standard: MCC9-12.A.SSE.3b, F.IF.8

Summary of Day One Findings Parabolas Vertex Form Vertex: (h, k) Axis: x = h Rate: a (+ up; – down)

Method #1: -b/2a 1.Find the AXIS of SYMMETRY : 2.Find VERTEX (h, k) h = x k is found by substituting “x” 3.“a” – value for vertex form should be the same coefficient of x 2 in standard form. Check by using another point (intercept)

Method #1 Example Given f(x) = x 2 + 8x ) Find a, b, and c. 2) Find the line of symmetry or “h” using x = -b/2a 3) Find the y value of the vertex, or “k” by substituting “x” into the equation. So, the vertex is at (-4, 6). 4) Write the equation in vertex form using the “h” and “k” found. “a” will be the same thing as in Step 1.

[1] PRACTICE METHOD #1: Write in vertex form. Find vertex and axis of symmetry. [2]

[3] PRACTICE METHOD #1: Write in vertex form. Find vertex and axis of symmetry. [4]

Method #2: Calculator Find the AXIS of SYMMETRY : 1.2 nd Poly-Solv 2.Type in a, b, and c 3.Hit ENTER on SOLVE 4.Scroll down until a, h, and k appear.

[1] PRACTICE METHOD #2: Write in vertex form. Find vertex and axis of symmetry. [2]

[3] PRACTICE METHOD #2: Write in vertex form. Find vertex and axis of symmetry. [4]