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Math Problems
Algebra 2
Find the focus or directrix of a parabola
Does the point
(
5
,
10
)
(5, 10)
(
5
,
10
)
satisfy the inequality
8
x
+
14
y
>
15
8x + 14y > 15
8
x
+
14
y
>
15
?
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What is the focus of the parabola
y
=
−
8
x
2
+
1
y= -8x^2+1
y
=
−
8
x
2
+
1
? Simplify any fractions.
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What is the focus of the parabola
y
=
−
3
x
2
y = -3x^2
y
=
−
3
x
2
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
10
x
2
+
3
y = 10x^2 + 3
y
=
10
x
2
+
3
?
\newline
Simplify any fractions.
\newline
(______,______)
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What is the focus of the parabola
y
=
8
x
2
−
4
y = 8x^2 - 4
y
=
8
x
2
−
4
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
−
5
x
2
y = -5x^2
y
=
−
5
x
2
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
5
x
2
+
6
y = 5x^2 + 6
y
=
5
x
2
+
6
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
7
x
2
y = 7x^2
y
=
7
x
2
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
−
2
x
2
−
4
y = -2x^2 - 4
y
=
−
2
x
2
−
4
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
−
8
x
2
−
5
y = -8x^2 - 5
y
=
−
8
x
2
−
5
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
2
x
2
y = 2x^2
y
=
2
x
2
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
−
8
x
2
+
5
y = -8x^2 + 5
y
=
−
8
x
2
+
5
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
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
What is the focus of the parabola
y
=
−
10
x
2
y = -10x^2
y
=
−
10
x
2
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
6
x
2
+
3
y = 6x^2 + 3
y
=
6
x
2
+
3
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
−
2
x
2
+
4
y = -2x^2 + 4
y
=
−
2
x
2
+
4
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
6
x
2
−
3
y = 6x^2 - 3
y
=
6
x
2
−
3
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
3
x
2
y = 3x^2
y
=
3
x
2
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
9
x
2
y = 9x^2
y
=
9
x
2
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
−
10
x
2
−
3
y = -10x^2 - 3
y
=
−
10
x
2
−
3
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
7
x
2
−
2
y = 7x^2 - 2
y
=
7
x
2
−
2
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
−
7
x
2
−
5
y = -7x^2 - 5
y
=
−
7
x
2
−
5
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
4
x
2
y = 4x^2
y
=
4
x
2
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
8
x
2
+
4
y = 8x^2 + 4
y
=
8
x
2
+
4
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
−
9
x
2
y = -9x^2
y
=
−
9
x
2
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
9
x
2
+
1
y = 9x^2 + 1
y
=
9
x
2
+
1
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
What is the focus of the parabola
y
=
−
4
x
2
y = -4x^2
y
=
−
4
x
2
?
\newline
Simplify any fractions.
\newline
(______,______)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
1
2
x
+
3
y \leq -\frac{1}{2}x + 3
y
≤
−
2
1
x
+
3
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
4
x
+
8
y \leq -4x + 8
y
≤
−
4
x
+
8
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
x
+
10
y \leq -x + 10
y
≤
−
x
+
10
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
3
x
+
9
y \leq -3x + 9
y
≤
−
3
x
+
9
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
1
2
x
+
2
y \leq -\frac{1}{2}x + 2
y
≤
−
2
1
x
+
2
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
x
+
7
y \leq -x + 7
y
≤
−
x
+
7
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
1
4
x
+
2
y \leq -\frac{1}{4}x + 2
y
≤
−
4
1
x
+
2
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
3
x
+
6
y \leq -3x + 6
y
≤
−
3
x
+
6
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
x
+
8
y \leq -x + 8
y
≤
−
x
+
8
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
x
+
9
y \leq -x + 9
y
≤
−
x
+
9
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
5
x
+
10
y \leq -5x + 10
y
≤
−
5
x
+
10
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
1
3
x
+
3
y \leq -\frac{1}{3}x + 3
y
≤
−
3
1
x
+
3
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
x
+
4
y \leq -x + 4
y
≤
−
x
+
4
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
2
x
+
10
y \leq -2x + 10
y
≤
−
2
x
+
10
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
x
+
6
y \leq -x + 6
y
≤
−
x
+
6
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
1
2
x
+
4
y \leq -\frac{1}{2}x + 4
y
≤
−
2
1
x
+
4
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
x
+
5
y \leq -x + 5
y
≤
−
x
+
5
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
1
3
x
+
2
y \leq -\frac{1}{3}x + 2
y
≤
−
3
1
x
+
2
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
1
2
x
+
5
y \leq -\frac{1}{2}x + 5
y
≤
−
2
1
x
+
5
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
2
x
+
4
y \leq -2x + 4
y
≤
−
2
x
+
4
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
2
x
+
8
y \leq -2x + 8
y
≤
−
2
x
+
8
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
x
+
3
y \leq -x + 3
y
≤
−
x
+
3
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
Look at the system of inequalities.
\newline
y
≤
−
x
+
2
y \leq -x + 2
y
≤
−
x
+
2
\newline
x
≥
0
x \geq 0
x
≥
0
\newline
y
≥
0
y \geq 0
y
≥
0
\newline
The solution set is the triangular region where all the inequalities are true.
\newline
What are the vertices of that triangular region?
\newline
(____,____)
\newline
(____,____)
\newline
(____,____)
Get tutor help
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