Quadratic Functions In Vertex Form Worksheet - Math 2200 Unit 2 Page 2
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30Unit 2 – Quadratics
Math 2200
2
y
2
x
The simplest form of a quadratic function is
.
Let’s take a look at some of its characteristics.
y
10
Table of Values
9
8
x
y
7
3
6
2
5
1
4
0
3
2
-1
1
-2
x
-3
- 5
- 4
- 3
- 2
- 1
1
2
3
4
5
- 1
- 2
y
The graph of a quadratic function
8
is a parabola that can open up or down.
6
Vertex
4
When the graph opens up the vertex is the lowest point
on the graph and the y-coordinate of the vertex is the
2
minimum value.
x
- 8
- 6
- 4
- 2
2
4
6
8
When the graph opens down, the vertex is the highest
- 2
point on the graph and the y-coordinate of the vertex is
Vertex
- 4
the maximum value.
- 6
The vertex is labelled as (p, q) {Other books uses (h, k)}
- 8
axi s of symmetry
The parabola is symmetric about a line called the axis of
x=3
y
symmetry.
16
This lines divides the graph into two equal parts
14
12
It is a mirror image
10
8
y-i n tercept
It intersects the parabola at the vertex
6
(0, 6 )
4
Vertex
The equation of the axis of symmetry corresponds
2
(3, 1 )
to the x-coordinate of the vertex x = p
x
- 6
- 4
- 2
2
4
6
8
10
12
- 2
Why are quadratic relations also quadratic functions?
For every value of x there is only one value for y – it passes the vertical line test!
ADVERTISEMENT
0 votes
Related Articles
Related forms
Write A Quadratic Function In Vertex Form Worksheet With Answers - James Madison High School
Education
Unit 3 '- Quadratric Functions - Im3 Lesson 3: Working With Quadratic Models In Vertex Form Worksheet
Education
Related Categories
Parent category: Education