solve for x , 4x^-48x+146
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Algebra Examples
Popular Problems Algebra Find the Axis of Symmetry f(x)=-4x^2-48x-140
f
(
x
)
=
−
4
x
2
−
48
x
−
140
Set the polynomial equal to
y
to find the properties of the parabola.
y
=
−
4
x
2
−
48
x
−
140
Rewrite the equation in vertex form.
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y
=
−
4
(
x
+
6
)
2
+
4
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
−
4
h
=
−
6
k
=
4
Since the value of
a
is negative, the parabola opens down.
Opens Down
Find the vertex
(
h
,
k
)
.
(
−
6
,
4
)
Find
p
, the distance from the vertex to the focus.
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−
1
16
Find the focus.
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(
−
6
,
63
16
)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x
=
−
6
image of graph
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