A curve is symmetric about the -axis

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

A curve is symmetric about the

y

-axis, intersects the origin, decreases on

(-\infty,0)

, increases on

(0,\infty)

and is everywhere curved (not made of straight line segments). Which of the following rules best describes this curve? (a)

y=-x^{2}

(b)

y=x^{2}

(c)

y=|x|

(d)

y=x^{2}+1