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Mathematics
Problem
A parabola has its vertex at
(
2
,
−
3
)
(2,-3)
(
2
,
−
3
)
and passes through the point
(
4
,
5
)
(4,5)
(
4
,
5
)
. Which of the following is its equation in the form
y
=
a
x
2
+
b
x
+
c
y=ax^{2}+bx+c
y
=
a
x
2
+
b
x
+
c
? a)
2
x
2
−
8
x
−
5
2x^{2}-8x-5
2
x
2
−
8
x
−
5
b)
2
x
2
−
8
x
+
5
2x^{2}-8x+5
2
x
2
−
8
x
+
5
c)
x
2
−
4
x
+
1
x^{2}-4x+1
x
2
−
4
x
+
1
d)
2
x
2
+
8
x
+
5
2x^{2}+8x+5
2
x
2
+
8
x
+
5
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