Complete the Square to Find Extrema
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
Card 1
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QUESTION
What is the minimum value of
f
(
x
)
=
a
(
x
−
h
)
2
+
k
f(x)=a(x-h)^2+k
f
(
x
)
=
a
(
x
−
h
)
2
+
k
when
a
>
0
a>0
a
>
0
?
QUESTION
What condition on
a
a
a
makes the vertex of
f
(
x
)
=
a
(
x
−
h
)
2
+
k
f(x)=a(x-h)^2+k
f
(
x
)
=
a
(
x
−
h
)
2
+
k
a maximum?
QUESTION
What is the axis of symmetry formula for
f
(
x
)
=
a
x
2
+
b
x
+
c
f(x)=ax^2+bx+c
f
(
x
)
=
a
x
2
+
b
x
+
c
in standard form?
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ANSWER
x
=
−
b
2
a
x=-\frac{b}{2a}
x
=
−
2
a
b
. This formula finds the vertex
x
x
x
-coordinate directly.
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