maxima of 5+4x-10x²
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Algebra Examples
Popular Problems Algebra Find the Maximum/Minimum Value 5-4x-x^2
5
−
4
x
−
x
2
The maximum or minimum of a quadratic function occurs at
x
=
−
b
2
a
. If
a
is negative, the maximum value of the function is
f
(
−
b
2
a
)
. If
a
is positive, the minimum value of the function is
f
(
−
b
2
a
)
.
f
max
x
=
a
x
2
+
b
x
+
c
occurs at
x
=
−
b
2
a
Find the value of
x
equal to
−
b
2
a
.
x
=
−
b
2
a
Substitute in the values of
a
and
b
.
x
=
−
−
4
2
(
−
1
)
Remove parentheses.
x
=
−
−
4
2
(
−
1
)
Simplify
−
−
4
2
(
−
1
)
.
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x
=
−
2
Replace the variable
x
with
−
2
in the expression.
f
(
−
2
)
=
5
−
4
⋅
−
2
−
(
−
2
)
2
Simplify the result.
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9
Use the
x
and
y
values to find where the maximum occurs.
(
−
2
,
9
)
image of graph
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