The graph of f is a parabola with vertex
(h,k) and axis of symmetryhx x=h
The parabola opens up a>0 if with the function
having a minimumvalue at k.
The parabola a >0 a>0 if with the function having a
maximum value at k .
The Vertex Formula
The vertex of the graph of
Problem Type #2 :Consider the following quadratic
Reduce all fractions to the lowest terms . :
1) Find the vertex of this function.
2) Enter the x-intercept(s), if any, of this function as ordered pair(s).
3) Graph this quadratic function by identifying two points on the parabola other
that the vertex and the x-intercept(s).
4.2b MAX/MIN APPLICATIONS OF QUADRATIC FUNCTIONS
Problem Type #1:
A small cruising ship that can hold up to 56 people provides three-day
excursions to groups of 36 or more. If the group contains 36 people, each person
pays $62. The cost per person is reduced by $1 for each person in excess of 36.
Find the size of the group that maximizes income for the owners of the ship.
Problem Type #2:
A rancher has 400 feet of fencing to put around a rectangular field and then
sub divide the field into 3 identical smaller rectangular plots by placing two
fences parallel to one of the field’s shorter sides. Find the dimensions that
maximize the enclosed area.
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