Quadratic Functions - Question Set 4
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Math Units: Contents
The general equation for this section is y = a(x-p)2+q.
- In the table below, fill in the values:
| Equation |
a |
p |
q |
y-intercept |
Vertex |
Max/Min |
| y = 4(x-3)2+1 |
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| y = -2(x+1)2+4 |
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| y = -2(x-7)2-1 |
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| y=4(x+3)2-2 |
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- How does the value of p in the equation help you to find the vertex of the parabola?
- How does the value of q in the equation help you to find the vertex of the parabola?
- What effect does a have:
on the shape of the parabola?
on the orientation of the parabola?
- If the vertex is a maximum point what is true of a?
- If the vertex is a minimum point what is true of a?
- How can you tell from the range of y values in the table, where your vertex is?
- Fill in the chart for the quadratic functions that have the following characteristics:
| Equation |
a |
p |
q |
y-intercept |
Vertex |
Max/Min |
| |
2 |
5 |
-2 |
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| |
-3 |
-2 |
5 |
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| |
5 |
-1 |
0 |
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-1 |
0 |
-4 |
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- Write the equation for a quadratic function that:
has vertex (3,-2), opens upward and has y-intercept 7
has vertex (2,0), opens downward and has y-intercept -8.
Please mail comments and suggestions to
Margaret Sinclair