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Mathematics
Problem
A polynomial graph is symmetric about the y-axis and intersects the x-axis only at
x
=
±
2
x=\pm2
x
=
±
2
. Which of the following could be its equation? a)
f
(
x
)
=
x
2
−
4
f(x)=x^{2}-4
f
(
x
)
=
x
2
−
4
b)
f
(
x
)
=
x
(
x
2
−
4
)
f(x)=x(x^{2}-4)
f
(
x
)
=
x
(
x
2
−
4
)
c)
f
(
x
)
=
x
4
−
4
f(x)=x^{4}-4
f
(
x
)
=
x
4
−
4
d)
f
(
x
)
=
x
2
−
16
f(x)=x^{2}-16
f
(
x
)
=
x
2
−
16
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