Unit 3 Quadratics Relations 1 Worksheet Page 35
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45MBF3C
Name:
BLM 3.5.3
Date:
More about the parabola!
1. Fill in the table for each parabola equation. BE CAREFUL! Some information
is not given by certain equations!
2
Equation
y = 2(x – 5)(x + 9)
y = –(x + 2)
+ 6
y = 4(x+2)(x + 8)
Zeros
Direction of
Opening
Axis of
Symmetry
Step Pattern
Vertex
2.
A cannonball is shot into the air. Its height can be described by the equation
h = -3(t – 1)(t – 9)
where h is height in feet and t is time in seconds.
(a)
What are the zeroes of this relation? _________ and _________
(b)
What do the zeroes mean in this situation?
(c)
What is the axis of symmetry and what does it represent?
(d)
Use the axis of symmetry to find the vertex and explain what the vertex
means for the cannonball.
3. The equation P = -0.5(n – 500)(n – 10) describes a company’s profit P, based
on how many units are sold, n. What are the break even points of the
company, and how many units must be sold to make a maximum profit?
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