Quadratic Functions In Vertex Form Worksheet - Math 2200 Unit 2 Page 4

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Unit 2 – Quadratics
Math 2200
4
3. What happens when a = 0? Explain why this happens.
When a = 0, _____________________________________________________________.
4. What happens to the graph, when the “a” value is a negative number?
When the a-value is negative, _______________________________________________.
5. What happens to the direction of opening of the quadratic if:
a
0
a.
The graph opens __________________
a
0
b.
The graph opens __________________
6. What effect does varying a have on the vertex? _________________________________
1
1
y 
y 
y 
y 
y 
2
2
2
2
2
x
x
x
2x
2x
7. Sketch a graph of:
,
,
,
,
2
2
y 
y 
2
2
1
x
2x
y 
2
x
2
y
y
y
16
16
16
15
15
15
14
14
14
13
13
13
12
12
12
11
11
11
10
10
10
9
9
9
8
8
8
7
7
7
6
6
6
5
5
5
4
4
4
3
3
3
2
2
2
1
1
1
x
x
x
- 4
- 3
- 2
- 1
- 1
1
2
3
4
- 4
- 3
- 2
- 1
1
2
3
4
- 1
- 4
- 3
- 2
- 1
- 1
1
2
3
4
- 2
- 2
- 2
- 3
- 3
- 3
y 
y 
2
2
1
x
2x
y 
2
x
2
y
y
y
16
2
2
15
1
1
14
13
x
x
- 4
- 3
- 2
- 1
1
2
3
4
- 4
- 3
- 2
- 1
- 1
1
2
3
4
- 1
12
- 2
- 2
11
- 3
- 3
10
- 4
- 4
9
- 5
- 5
8
- 6
- 6
7
- 7
- 7
6
- 8
- 8
5
- 9
- 9
4
- 10
- 10
3
- 11
- 11
2
- 12
- 12
1
- 13
- 13
x
- 14
- 14
- 4
- 3
- 2
- 1
1
2
3
4
- 1
- 15
- 15
- 2
- 16
- 16
- 3
- 17
- 17
8. Write a conclusion about the effect the parameter “a” has on the graph of a quadratic
function.

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