Quadratic Functions In Vertex Form Worksheet - Math 2200 Unit 2 Page 6
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30Unit 2 – Quadratics
Math 2200
6
y
PART C: The Effect of Parameter “p” in
2
2
on the Graph of
y
(
x
p
)
x
Using the “h” slider (keeping a = 1 and k = 0), determine the effect it has on the graph
y
2
2
y
(
x
p
)
x
compared to the graph of
.
Questions:
1. How does the graph change as the p value changes? ______________________________
2. When the p value is positive, the graph shifts ______________ (left/right) p units.
3. When the p value is negative, the graph shifts _____________ (left/right) p units.
4. What effect does varying p have on the vertex?__________________________________
y
x
(
x
(
2
2
2
x
y
) 3
y
) 4
5. Sketch a graph of:
,
,
y
x
(
x
(
2
2
2
x
y
) 3
y
) 4
y
16
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5
4
3
2
1
x
- 4
- 3
- 2
- 1
1
2
3
4
- 1
- 2
- 3
6. Complete the following sentences.
a) When there is a x + 3 in the function then there is a horizontal translation of ______ units to
the _________.
b) When there is a x – 4 in the function then there is a horizontal translation of ______ units to
the _________.
7. Write a conclusion about the effect the parameter “p” has on the graph of a quadratic
function.
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