1. lesson 9.1 I CAN . . . -identify parts of a parabola.
-find the axis of symmetry & vertex.
lesson 9.1

2. vocabulary Highest point on graph Lowest point on graph Word
Definition
Picture
Parabola
Vertex
Axis of Symmetry
Maximum
Minimum
Shape of quadratic equation
Point where direction of graph changes (curve)
Imaginary line where parabola can be folded in half
Highest point on graph
Lowest point on graph

3. vocabulary value of “a” is positive value of “a” is negative
Word
Definition
Picture Up
Down
Roots
Other Names:
value of “a” is positive
value of “a” is negative
solutions
where parabola touches x-axis
zeroes
x-intercepts

4. quadratic standard form

5. Labeling a parabola Draw the axis of symmetry.
Put a dot at the vertex.
Identify if the parabola is opening up or down.
Label the vertex as a max or min.
Write the coordinates of the parabola across the x-axis.
Example 1: Example 2:
Vertex: Max or Min? _____________ Vertex: Max or Min? _____________
Open up or down? _______________ Open up or down? _______________
Coordinates across x-axis: ____________ Coordinates across x-axis: ____________

6. Axis of symmetry
Means the “opposite of b”

7. Find the equation for the axis of symmetry and vertex of:
Example #3:
Find the equation for the axis of symmetry and vertex of: a b c
x = ______ 4
= ____ 4
= 2
x = 2 2
(1) 2
y = (2)2 – 4(2) + 11
y = 7
(2, 7)

8. Axis of symmetry & vertex
Find the axis of symmetry and the vertex for each quadratic equation. a b c
x = ______ 12
= ____ 12
= –3
x = –3 2
(–2) –4
y = –2(–3)2 – 12(–3) – 18
y = 0
(–3, 0)

9. Find the axis of symmetry for the following two parabolas.
Are you a master??
Find the axis of symmetry for the following two parabolas.
1) 2)
a b c

10. Today’s assignment
9.1 Worksheet