Quadratic Functions  Question Set 4
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Math Units: Contents
The general equation for this section is y = a(xp)^{2}+q.
 In the table below, fill in the values:
Equation 
a 
p 
q 
yintercept 
Vertex 
Max/Min 
y = 4(x3)^{2}+1 






y = 2(x+1)^{2}+4 






y = 2(x7)^{2}1 






y=4(x+3)^{2}2 






 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 
yintercept 
Vertex 
Max/Min 

2 
5 
2 




3 
2 
5 




5 
1 
0 




1 
0 
4 



 Write the equation for a quadratic function that:
has vertex (3,2), opens upward and has yintercept 7
has vertex (2,0), opens downward and has yintercept 8.
Please mail comments and suggestions to
Margaret Sinclair