Quadratic Functions In Vertex Form Worksheet - Math 2200 Unit 2 Page 5

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Unit 2 – Quadratics
Math 2200
5
y 
PART B: The Effect of Parameter “q” in
2
2
on the Graph of
y
x
q
x
Using the “k” slider (keeping a = 1 and h = 0), determine the effect it has on the graph
2
y
x
q
y 
2
x
compared to the graph of
.
Questions:
1. How does the graph change as the q value changes? ______________________________
2. When the q value is positive, the graph shifts ______________ (up/down) q units.
3. When the q value is negative, the graph shifts _____________ (up/down) q units.
4. What effect does varying q have on the vertex?__________________________________
y 
 x
 x
2
2
2
x
y
2
y
1
5. Sketch a graph of:
,
,
y 
 x
 x
2
2
2
x
y
2
y
1
y
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
x
- 4
- 3
- 2
- 1
1
2
3
4
- 1
- 2
- 3
6. Write a conclusion about the effect the parameter “q” has on the graph of a quadratic
function.

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