Relating The Standard And Factored Forms Worksheet - Chapter 3.2 Page 10
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113.2
Graph each function, and complete the table.
10.
Maximum
or
Axis of
Minimum
Factored Form
Standard Form
Symmetry
Zeros
y-intercept
Vertex
Value
R(x) 5 (40 2 x) (10 1 x)
R(x) 5 2x
1 30x
1 400
2
a)
f(x) 5 (x 2
4) (x 1 2)
b)
g(x) 5 2x
1 2x 1 8
2
c)
p(x) 5 (3 2
x) (x 1 1)
d)
j(x) 5 4x
2
2
e)
121
h(t)
The height of water,
, in metres, from a garden hose is given by
11.
h(t) 5 25t
1 15t,
2
A
the function
where t is time in seconds. Express
the function in factored form, and then use the zeros to determine the
maximum height reached by the water.
For each graph, write the equation in both factored and standard forms.
12.
f(x)
a)
c)
f(x)
12
8
4
10
x
(0, 9)
8
0
4
2
2
4
6
8
6
4
8
4
2
12
x
(0, –14)
16
0
10
8
6
4
2
2
2
20
f(x)
b)
d)
f(x)
48
8
44
40
6
(1, 36)
36
32
4
28
(3, 2)
24
2
x
20
16
2 0
12
2
4
6
8
8
2
x
4
4
4 0
10
8
4
8
10
8
6
Working with Quadratic Functions: Standard and Factored Forms
141
NEL
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