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Math Problems
Algebra 2
Write a quadratic function from its vertex and another point
A parabola opening up or down has vertex
(
0
,
−
1
)
(0,-1)
(
0
,
−
1
)
and passes through
(
6
,
−
4
)
(6,-4)
(
6
,
−
4
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
3
)
(0,3)
(
0
,
3
)
and passes through
(
−
8
,
11
)
(-8,11)
(
−
8
,
11
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
6
,
−
3
)
(6,-3)
(
6
,
−
3
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
−
5
)
(0,-5)
(
0
,
−
5
)
and passes through
(
4
,
−
1
)
(4,-1)
(
4
,
−
1
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
1
)
(0,1)
(
0
,
1
)
and passes through
(
−
12
,
13
)
(-12,13)
(
−
12
,
13
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
−
5
)
(0,-5)
(
0
,
−
5
)
and passes through
(
−
12
,
4
)
(-12,4)
(
−
12
,
4
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
−
4
)
(0,-4)
(
0
,
−
4
)
and passes through
(
4
,
0
)
(4,0)
(
4
,
0
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
−
3
)
(0,-3)
(
0
,
−
3
)
and passes through
(
−
6
,
0
)
(-6,0)
(
−
6
,
0
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
−
3
)
(0,-3)
(
0
,
−
3
)
and passes through
(
−
8
,
−
19
)
(-8,-19)
(
−
8
,
−
19
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
12
,
−
9
)
(12,-9)
(
12
,
−
9
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
5
)
(0,5)
(
0
,
5
)
and passes through
(
−
12
,
−
13
)
(-12,-13)
(
−
12
,
−
13
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
1
)
(0,1)
(
0
,
1
)
and passes through
(
8
,
9
)
(8,9)
(
8
,
9
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
3
)
(0,3)
(
0
,
3
)
and passes through
(
16
,
19
)
(16,19)
(
16
,
19
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
1
)
(0,1)
(
0
,
1
)
and passes through
(
−
12
,
−
8
)
(-12,-8)
(
−
12
,
−
8
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
−
4
,
−
4
)
(-4,-4)
(
−
4
,
−
4
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
6
)
(0,6)
(
0
,
6
)
and passes through
(
12
,
−
12
)
(12,-12)
(
12
,
−
12
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
8
,
8
)
(8,8)
(
8
,
8
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
10
,
5
)
(10,5)
(
10
,
5
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
\newline
______
Get tutor help
A parabola opening up or down has vertex
(
0
,
−
7
)
(0,-7)
(
0
,
−
7
)
and passes through
(
−
12
,
11
)
(-12,11)
(
−
12
,
11
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
1
)
(0,1)
(
0
,
1
)
and passes through
(
−
6
,
10
)
(-6,10)
(
−
6
,
10
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
1
)
(0,1)
(
0
,
1
)
and passes through
(
12
,
−
11
)
(12,-11)
(
12
,
−
11
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
5
)
(0,5)
(
0
,
5
)
and passes through
(
−
6
,
2
)
(-6,2)
(
−
6
,
2
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
−
2
)
(0,-2)
(
0
,
−
2
)
and passes through
(
12
,
16
)
(12,16)
(
12
,
16
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
2
)
(0,2)
(
0
,
2
)
and passes through
(
10
,
7
)
(10,7)
(
10
,
7
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
8
,
4
)
(8,4)
(
8
,
4
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
\newline
______
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
−
4
,
1
)
(-4,1)
(
−
4
,
1
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
\newline
______
Get tutor help
A parabola opening up or down has vertex
(
0
,
−
5
)
(0,-5)
(
0
,
−
5
)
and passes through
(
−
8
,
11
)
(-8,11)
(
−
8
,
11
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
3
)
(0,3)
(
0
,
3
)
and passes through
(
8
,
7
)
(8,7)
(
8
,
7
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
16
,
−
16
)
(16,-16)
(
16
,
−
16
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
\newline
______
Get tutor help
A parabola opening up or down has vertex
(
0
,
2
)
(0,2)
(
0
,
2
)
and passes through
(
6
,
5
)
(6,5)
(
6
,
5
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
−
8
,
4
)
(-8,4)
(
−
8
,
4
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
4
,
2
)
(4,2)
(
4
,
2
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
\newline
______
Get tutor help
A parabola opening up or down has vertex
(
0
,
6
)
(0,6)
(
0
,
6
)
and passes through
(
−
6
,
−
3
)
(-6,-3)
(
−
6
,
−
3
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
4
)
(0,4)
(
0
,
4
)
and passes through
(
4
,
2
)
(4,2)
(
4
,
2
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
\newline
______
Get tutor help
A parabola opening up or down has vertex
(
0
,
4
)
(0,4)
(
0
,
4
)
and passes through
(
8
,
−
4
)
(8,-4)
(
8
,
−
4
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
−
1
)
(0,-1)
(
0
,
−
1
)
and passes through
(
4
,
1
)
(4,1)
(
4
,
1
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
12
,
12
)
(12,12)
(
12
,
12
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
\newline
______
Get tutor help
A parabola opening up or down has vertex
(
0
,
−
3
)
(0,-3)
(
0
,
−
3
)
and passes through
(
−
12
,
9
)
(-12,9)
(
−
12
,
9
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
8
,
16
)
(8,16)
(
8
,
16
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
\newline
______
Get tutor help
A parabola opening up or down has vertex
(
0
,
3
)
(0,3)
(
0
,
3
)
and passes through
(
−
4
,
4
)
(-4,4)
(
−
4
,
4
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
\newline
______
Get tutor help
g
(
r
)
=
p
2
−
6
p
−
55
g(r) =p^2-6p -55
g
(
r
)
=
p
2
−
6
p
−
55
\newline
1
1
1
) What are the zeros of the function?
\newline
2
2
2
) What is the vertex of the parabola?
Get tutor help
A parabola opening up or down has vertex
(
0
,
0
)
(0,0)
(
0
,
0
)
and passes through
(
−
6
,
−
3
)
(-6, -3)
(
−
6
,
−
3
)
. Write its equation in vertex form. Simplify any fractions.
Get tutor help
A parabola opening up or down has vertex
(
0
,
−
3
)
(0, -3)
(
0
,
−
3
)
and passes through
(
4
,
−
5
)
(4, -5)
(
4
,
−
5
)
. Write its equation in vertex form.
\newline
Simplify any fractions.
\newline
______
Get tutor help
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