1. Goal: I can graph quadratic functions and show intercepts, maxima and minima. (F-IF.7a) Graphing Quadratic Functions in Standard Form

2. Vertex Formula -

3. Graphing a Quadratic Function Step 1 Write Step 2 Find Step 3 Graph Step 4 Create Step 4 Plot Step 5 Reflect the coordinates of the vertex, using the vertex formula a table of values, using at least 3 x- values to the right of the vertex the points and connect them with a smooth curve in standard/function form y = ax²+bx+c the points across the axis of symmetry and connect them with a smooth curve to form a parabola the line of symmetry through vertex

4. 2. Find the x and y -coordinate of the vertex: EXAMPLE 1 Fill in the table of values to graph the quadratic 1. Standard Form: y = (3) 2 – 6(3) + 5 y -coordinate y = 9 – 6(3) + 5 y = 9 – 18+ 5 y = – 4 vertex: (3, -4)

5. 3. Make a table of values: EXAMPLE 1 Fill in the table of values to graph the quadratic. XY vtx 4 5 6 3 5 y = (6) 2 – 6(6) + 5 -4 -3 0 y = (4) 2 – 6(4) + 5 y = (5) 2 – 6(5) + 5

6. EXAMPLE 1 Graph Quadratic Function XY vtx 4 3 5 6 5 -4 -3 0 Step 3 Graph Step 4 Plot Step 5 Reflect

7. 1. Find the x-coordinate of the vertex: EXAMPLE 2 Fill in the table of values to graph the quadratic y -coordinate y =-2 (0) 2 + 6 y =-2 (0) + 6 y = (0) + 6 y = 6 vertex: (0, 6)

8. 2. Make a table of values: EXAMPLE 2 Fill in the table of values to graph the quadratic. XY vtx 1 3 0 2 y = -2(3) 2 + 6 -12 6 4 -2 y = -2(1) 2 + 6 y = -2(2) 2 + 6

9. EXAMPLE 2 Graph Quadratic Function XY vtx 1 0 2 6 4 -2 3 -12 Step 3 Graph Step 4 Plot Step 5 Reflect

10. Find the x-coordinate of the vertex: You try…