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A parabola intersects the -axis at and and cuts the -axis at
MATHEMATICS · Single correct · GCSE · Mathematics · Graphs · Graphs
Problem
A parabola intersects the
x
x
x
-axis at
x
=
−
2
x = -2
x
=
−
2
and
x
=
3
x = 3
x
=
3
and cuts the
y
y
y
-axis at
(
0
,
−
6
)
(0,-6)
(
0
,
−
6
)
. Which of the following equations matches the graph? (a)
y
=
−
x
2
+
x
+
6
y = -x^{2} + x + 6
y
=
−
x
2
+
x
+
6
(b)
y
=
x
2
−
x
+
6
y = x^{2} - x + 6
y
=
x
2
−
x
+
6
(c)
y
=
x
2
−
x
−
6
y = x^{2} - x - 6
y
=
x
2
−
x
−
6
(d)
y
=
x
2
+
x
−
6
y = x^{2} + x - 6
y
=
x
2
+
x
−
6
Related theory
Algebraic Identities
Polynomials
Zeroes of a polynomial
Factorisation of polynomials
Algebra
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