Vertex Form Worksheet With Answers Page 2
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1
2
3
45 .)
Write y
=
4(x
-
3)2
-
7 in standard form. (Sec. 4.2)
Write a quadratic function in vertex form whose graph has the given characteristics. (Sec. 4.10)
6.)
vertex: ( -3, 2 )
7.)
vertex: ( -2, 1 )
point on graph: ( -1, -1 8 )
point on the graphi ( 1 , 4 )
Write a quadratic fjlnction in intercept form whose graph has the given characteristics. (Sec. 4.10)
8 .)
g-ihtercepts: (. 1,O)
& ( 8,
0 )
9.)
x-intercepts: ( -6,, 0 )
& (
-2, 0 )
point on graph: ( 2, -2 )
point on the griph:
'(
-3, 5 )
-
,
Factor completely. (Sec. 4.3
&
4.4)
& . .
10.)
x2-X-20
11.)
9x2-6x+1
12.)
3u2 -108
Write in intercept form,, and state the zeros (or the x-intercepts) of the fbnction. (Sec. 4.3
&
4.4)
13.)
y = x2 -10x+16
.
14.)
y=2x2-12x+18
-Ix-sj-Cx
z . )
Intercept form:
,Y-
,
.
-
Intercept form:
zeros:
9
.
-.;Zeros:
. . '
Simplify. (Sec. 4.5)
15.)
&*'fi
16.)
$
=
e
-
2 6 .
-
1
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