Quadratic Models Using Vertex Form Worksheet With Answer Key Page 2
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1
2Example 2
The graph of
=
was stretched by a factor of 2 and reflected in the -axis. The graph was
then translated to a position where its vertex is not visible in the viewing window of a graphing
calculator. Determine the quadratic relation in vertex form from the partial graph displayed in
the screen shot. For each tick mark, the scale on the -axis is 5, and the scale on the -axis is 2.
3 + 13
ℎ =
= 8
2
=
− ℎ
+
18 = −2 4 − 8
+
18 = −2 −4
+
18 = −2 16 +
18 = −32 +
= 18 + 32 = 50
= −2
− 8
+ 50
Example 3
The amount of gasoline that a car consumes depends on its speed. A group of students decided
to research the relationship between speed and fuel consumption for a particular car. They
collected the data in the table. Determine an equation that models the relationship between
speed and fuel consumption.
10
According to the graph, the
G
9
a
vertex is 70, 5.9 and 30, 7.4
8
s
7
is on the graph.
6
c
7.4 =
30 − 70
+ 5.9
5
o
n
1.5 = 1600
4
s
3
= 0.0009375
u
2
m
= 0.0009375
− 70
+ 5.9
1
e
0
d
0
20
40
60
80
100
120
140
Speed (km/h)
Classwork
Pg 283 #11~14
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