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Algebra 2
Find the axis of symmetry of a parabola
that I am asking is how to view these structure
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For
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3
3
3
. Find the axis of symmetry and the vertex of the graph of:
\newline
y
=
2
x
2
−
4
x
+
6
y=2 x^{2}-4 x+6
y
=
2
x
2
−
4
x
+
6
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Use the graph of the parabola to fill in the table.
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3
3
3
- The following trapezoids are similar. What is the value of
x
x
x
?
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Find the area of the surface.
\newline
the part of the hyperbolic paraboloid
z
=
y
2
−
x
2
z=y^{2}-x^{2}
z
=
y
2
−
x
2
that lies between the cylinders
x
2
+
y
2
=
4
x^{2}+y^{2}=4
x
2
+
y
2
=
4
and
x
2
+
y
2
=
16
x^{2}+y^{2}=16
x
2
+
y
2
=
16
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1
1
1
. Find the equation of the axis of symmetry of the following quadratic equation.
\newline
f
(
x
)
=
−
x
2
−
2
x
−
3
f(x)=-x^{2}-2 x-3
f
(
x
)
=
−
x
2
−
2
x
−
3
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7
7
7
. Draw the graphs of the equations
x
−
y
+
1
=
0
x-y+1=0
x
−
y
+
1
=
0
and
3
x
+
2
y
−
12
=
0
3 x+2 y-12=0
3
x
+
2
y
−
12
=
0
. Determine the coordinates of the vertices of the triangle formed by these lines and the
x
x
x
-axis, and shade the triangular region.
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Draw the graph of equation
x
−
y
+
1
=
0
x - y + 1 = 0
x
−
y
+
1
=
0
and
3
x
+
2
y
−
12
=
0
3x + 2y - 12 = 0
3
x
+
2
y
−
12
=
0
determine the coordinates of the vertices of the Triangle formed by these lines and the x-axis shade the triangular region
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A solid is cut by a plane that is parallel to its base, forming a two-dimensional cross section in the shape of a triangle. Which of the following solids could have resulted in that cross section?
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Find the equation of the axis of symmetry of the following parabola algebraically.
\newline
y
=
−
3
x
2
+
18
x
−
21
y=-3 x^{2}+18 x-21
y
=
−
3
x
2
+
18
x
−
21
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola algebraically.
\newline
y
=
2
x
2
+
24
x
+
70
y=2 x^{2}+24 x+70
y
=
2
x
2
+
24
x
+
70
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola algebraically.
\newline
y
=
4
x
2
−
64
x
+
248
y=4 x^{2}-64 x+248
y
=
4
x
2
−
64
x
+
248
\newline
Answer:
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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an
(
x
,
y
)
(x, y)
(
x
,
y
)
point.
\newline
y
=
−
x
2
−
16
x
−
57
y=-x^{2}-16 x-57
y
=
−
x
2
−
16
x
−
57
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola algebraically.
\newline
y
=
−
x
2
+
4
x
−
2
y=-x^{2}+4 x-2
y
=
−
x
2
+
4
x
−
2
\newline
Answer:
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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an
(
x
,
y
)
(x, y)
(
x
,
y
)
point.
\newline
y
=
x
2
−
2
x
+
4
y=x^{2}-2 x+4
y
=
x
2
−
2
x
+
4
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola algebraically.
\newline
y
=
4
x
2
+
48
x
+
160
y=4 x^{2}+48 x+160
y
=
4
x
2
+
48
x
+
160
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola algebraically.
\newline
y
=
2
x
2
−
6
y=2 x^{2}-6
y
=
2
x
2
−
6
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola using graphing technology.
\newline
y
=
2
x
2
−
16
y=2 x^{2}-16
y
=
2
x
2
−
16
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola using graphing technology.
\newline
y
=
4
x
2
+
8
y=4 x^{2}+8
y
=
4
x
2
+
8
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola using graphing technology.
\newline
y
=
−
x
2
−
7
y=-x^{2}-7
y
=
−
x
2
−
7
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola using graphing technology.
\newline
y
=
−
x
2
−
2
x
−
7
y=-x^{2}-2 x-7
y
=
−
x
2
−
2
x
−
7
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola using graphing technology.
\newline
y
=
−
x
2
+
8
x
y=-x^{2}+8 x
y
=
−
x
2
+
8
x
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola using graphing technology.
\newline
y
=
4
x
2
+
24
x
+
40
y=4 x^{2}+24 x+40
y
=
4
x
2
+
24
x
+
40
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola using graphing technology.
\newline
y
=
−
2
x
2
−
20
x
−
60
y=-2 x^{2}-20 x-60
y
=
−
2
x
2
−
20
x
−
60
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola using graphing technology.
\newline
y
=
x
2
−
2
x
+
8
y=x^{2}-2 x+8
y
=
x
2
−
2
x
+
8
\newline
Answer:
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Find the equation of the axis of symmetry of the following parabola using graphing technology.
\newline
y
=
x
2
−
4
x
−
2
y=x^{2}-4 x-2
y
=
x
2
−
4
x
−
2
\newline
Answer:
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What is the axis of symmetry of the parabola
x
=
1
2
(
y
+
3
)
2
+
5
x = \frac{1}{2}(y + 3)^2 + 5
x
=
2
1
(
y
+
3
)
2
+
5
?
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