Completing The Square Worksheet Page 2
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1
2Write each function in vertex form, and identify its vertex.
2
2
14.
h x
( ) 3
=
x
−
24
x
+
53
15.
h x
( )
=
x
+
8
x
−
10
2
2
16.
g x
( )
=
x
−
3
x
+
16
17.
h x
( ) 3
=
x
−
12
x
−
4
18. The height h above the roadway of the main cable of the Golden Gate Bridge can be
1
7
2
modeled by the function
h x
( )
=
x
−
x
+
500
, where x is the distance in feet from
9000
15
the left tower.
a. Complete the square, and write the function in vertex form.
b. What is the vertex, and what does it represent?
c. The left and right towers have the same height. What is the distance between
them?
Find the value of b in each perfect square trinomial.
2
2
2
19.
x
−
bx
+
144
20.
4
x
−
bx
+
16
21.
ax
+
bx c
+
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