Quadratic Functions In Vertex Form Worksheet - Math 2200 Unit 2 Page 22
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30Unit 2 – Quadratics
Math 2200
22
Maximum/Minimum Word Problems
To solve Max/Min Problems you will have to determine the highest (or lowest )
point , in other words, the vertex.
(I)
Max/Min problems where the function is given
A toy rocket is launched from the top of a 30m high building so that its height, h
2
in metres above the ground t seconds later is given by
.
h t
( ) 30 64 16
t
t
Algebraically determine the maximum height attained by the rocket.
(II)
Area Perimeter Problems
Example 1.
John decides to enclose a rectangular flower garden using 40 feet of wire mesh fencing.
(a) Write a quadratic function that models the area of the garden.
(b) What is the maximum area of the garden?
(C) What length and width will produce a maximum area
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