Answer:
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Algebra Examples
Popular Problems Algebra Find the Maximum/Minimum Value f(x)=x^2-3x-9
f
(
x
)
=
2
−
3
9
The maximum or minimum of a quadratic function occurs at
b
a
. If
is negative, the maximum value of the function is
is positive, the minimum value of the function is
.
min
+
c
occurs at
Find the value of
equal to
Substitute in the values of
and
1
Remove parentheses.
Simplify
Tap for more steps...
Replace the variable
with
in the expression.
Simplify the result.
45
4
Use the
y
values to find where the minimum occurs.
,
image of graph
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Answers & Comments
Answer:
Answer:
Enter a problem...
Algebra Examples
Popular Problems Algebra Find the Maximum/Minimum Value f(x)=x^2-3x-9
f
(
x
)
=
x
2
−
3
x
−
9
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
min
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
=
−
−
3
2
(
1
)
Remove parentheses.
x
=
−
−
3
2
(
1
)
Simplify
−
−
3
2
(
1
)
.
Tap for more steps...
x
=
3
2
Replace the variable
x
with
3
2
in the expression.
f
(
3
2
)
=
(
3
2
)
2
−
3
(
3
2
)
−
9
Simplify the result.
Tap for more steps...
−
45
4
Use the
x
and
y
values to find where the minimum occurs.
(
3
2
,
−
45
4
)
image of graph