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

Vertex Formula -

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

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 – y = – 4 vertex: (3, -4)

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

EXAMPLE 1 Graph Quadratic Function XY vtx Step 3 Graph Step 4 Plot Step 5 Reflect

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) y =-2 (0) + 6 y = (0) + 6 y = 6 vertex: (0, 6)

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

EXAMPLE 2 Graph Quadratic Function XY vtx Step 3 Graph Step 4 Plot Step 5 Reflect

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