1. Unit 7 Quadratics Graphing Quadratic Functions
Goal: I can graph quadratic functions in Factored Form and show intercepts, maxima and minima. (F-IF.8a)

2. Graphing a Quadratic Function in Factored Form
Step 1 Multiply
Step 2 Find
Step 3 Make
Step 4 Plot
to write in standard/function form y = ax²+bx+c
the x-coordinate of the vertex,
which is
a table of values, using x-values
to the left and right of the vertex
the points and connect them with a smooth
curve to form a parabola

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

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

5. EXAMPLE 1 Graph Quadratic Function
4. Plot: X Y
vtx 1 2 -3 3 -4 4 -3 5

6. EXAMPLE 2 1. Standard Form: 2. Find the x-coordinate of the vertex:
y -coordinate
y =-2 (0)2 + 6
y =-2 (0) + 6
y = (0) + 6
y = 6
vertex: (0, 6)

7. EXAMPLE 2 Fill in the table of values to graph the quadratic.
3. Make a table of values: X Y
vtx
y = -2(-2)2 + 6 -2 -2 -1 4
y = -2(-1)2 + 6
y = -2(1)2 + 6 6 1 4
y = -2(2)2 + 6 2 -2