Use Factoring, Squares to Analyze Graphs
Algebra 1 · Flashcards
ALGEBRA 1 · FLASHCARDS
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QUESTION
What is the first step to complete the square for
a
x
2
+
b
x
+
c
ax^2+bx+c
a
x
2
+
b
x
+
c
when
a
≠
1
a\neq 1
a
=
1
?
QUESTION
For
h
(
t
)
=
−
16
t
2
+
32
t
+
5
h(t)=-16t^2+32t+5
h
(
t
)
=
−
16
t
2
+
32
t
+
5
, what is the maximum height?
QUESTION
Rewrite in vertex form by completing the square:
f
(
x
)
=
−
x
2
+
6
x
−
2
f(x)=-x^2+6x-2
f
(
x
)
=
−
x
2
+
6
x
−
2
.
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ANSWER
f
(
x
)
=
−
(
x
−
3
)
2
+
7
f(x)=-(x-3)^2+7
f
(
x
)
=
−
(
x
−
3
)
2
+
7
. Factor out
−
1
-1
−
1
, then complete square inside.
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