Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
In which direction does the parabola
y
−
9
x
2
=
0
y - 9x^2 = 0
y
−
9
x
2
=
0
open?
\newline
Choices:
\newline
(A)up
\newline
(B)down
\newline
(C)right
\newline
(D)left
View step-by-step help
Home
Math Problems
Algebra 2
Find properties of a parabola from equations in general form
Full solution
Q.
In which direction does the parabola
y
−
9
x
2
=
0
y - 9x^2 = 0
y
−
9
x
2
=
0
open?
\newline
Choices:
\newline
(A)up
\newline
(B)down
\newline
(C)right
\newline
(D)left
Identify Parabola Type:
y
−
9
x
2
=
0
y - 9x^2 = 0
y
−
9
x
2
=
0
\newline
Identify if the parabola is vertical or horizontal.
\newline
Since the
x
x
x
term is squared, it's a vertical parabola.
Isolate
y
y
y
in Standard Form:
y
−
9
x
2
=
0
y - 9x^2 = 0
y
−
9
x
2
=
0
\newline
Isolate
y
y
y
to get the standard form.
\newline
y
=
9
x
2
y = 9x^2
y
=
9
x
2
Determine Opening Direction:
y
=
9
x
2
y = 9x^2
y
=
9
x
2
\newline
Determine the direction of the opening.
\newline
The coefficient of
x
2
x^2
x
2
is
9
9
9
, which is positive, so the parabola opens up.
More problems from Find properties of a parabola from equations in general form
Question
What is the focus of the parabola
y
=
−
x
2
y = -x^2
y
=
−
x
2
?
\newline
Simplify any fractions.
\newline
(_____ , _____)
\newline
Get tutor help
Posted 1 year ago
Question
The equation of a parabola is
y
=
x
2
−
10
x
+
25
y = x^2 - 10x + 25
y
=
x
2
−
10
x
+
25
. Write the equation in vertex form.
\newline
Write any numbers as integers or simplified proper or improper fractions.
\newline
______
Get tutor help
Posted 1 year ago
Question
In which direction does the parabola
x
+
y
2
=
−
7
x + y^2 = -7
x
+
y
2
=
−
7
open?
\newline
Choices:
\newline
(A)
up
\text{up}
up
\newline
(B)
down
\text{down}
down
\newline
(C)
right
\text{right}
right
\newline
(D)
left
\text{left}
left
Get tutor help
Posted 1 year ago
Question
What is the vertex of the parabola
y
=
−
4
(
x
−
2
)
2
+
2
y = -4(x - 2)^2 + 2
y
=
−
4
(
x
−
2
)
2
+
2
?
?
?
\newline
(
_
,
_
)
(\_,\_)
(
_
,
_
)
Get tutor help
Posted 1 year ago
Question
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
?
Get tutor help
Posted 1 year ago
Question
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
Get tutor help
Posted 1 year ago
Question
What is the vertex of the parabola
y
−
8
x
2
=
4
y - 8x^2 = 4
y
−
8
x
2
=
4
?
\newline
(
_
,
_
)
(\_,\_)
(
_
,
_
)
Get tutor help
Posted 11 months ago
Question
The equation of a circle is
x
2
+
(
y
+
4
)
2
=
1
x^{2}+(y+4)^{2}=1
x
2
+
(
y
+
4
)
2
=
1
. What are the center and radius of the circle?
\newline
Choose
1
1
1
answer:
\newline
(A) The center is
(
−
4
,
0
)
(-4,0)
(
−
4
,
0
)
and the radius is
1
1
1
.
\newline
(B) The center is
(
4
,
0
)
(4,0)
(
4
,
0
)
and the radius is
1
1
1
.
\newline
(C) The center is
(
0
,
4
)
(0,4)
(
0
,
4
)
and the radius is
1
1
1
.
\newline
(D) The center is
(
0
,
−
4
)
(0,-4)
(
0
,
−
4
)
and the radius is
1
1
1
.
Get tutor help
Posted 1 year ago
Question
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
Get tutor help
Posted 1 year ago
Question
If
y
=
2
x
2
−
5
x
+
7
y=2 x^{2}-5 x+7
y
=
2
x
2
−
5
x
+
7
is graphed in the
x
y
x y
x
y
-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?
\newline
Choose
1
1
1
answer:
\newline
(A)
x
x
x
-intercept(s)
\newline
(B)
y
y
y
-intercept
\newline
(C)
x
x
x
-coordinate of the vertex
\newline
(D)
y
y
y
-coordinate of the vertex
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant