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Math Problems
Algebra 2
Identify the direction a parabola opens
A solid is cut by a plane that is perpendicular 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?
\newline
rectangular pyramid
\newline
rectangular prism
\newline
right pentagonal prism
\newline
cube
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y
=
(
x
−
3
)
(
x
+
9
)
y=(x-3)(x+9)
y
=
(
x
−
3
)
(
x
+
9
)
\newline
The given equation is graphed in the
x
y
x y
x
y
-plane. Which of the following are
x
x
x
-intercepts of the graph?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
3
-3
−
3
and
−
9
-9
−
9
\newline
(B)
−
3
-3
−
3
and
9
9
9
\newline
(C)
3
3
3
and
−
9
-9
−
9
\newline
(D)
3
3
3
and
9
9
9
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In which direction does the parabola
x
−
2
y
2
=
−
5
x - 2y^2 = -5
x
−
2
y
2
=
−
5
open?
\newline
Choices:
\newline
[A]up
\text{[A]up}
[A]up
\newline
[B]down
\text{[B]down}
[B]down
\newline
[C]right
\text{[C]right}
[C]right
\newline
[D]left
\text{[D]left}
[D]left
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