Answer
Answers may vary, but one answer is $x^2+4x+2$
Work Step by Step
axis of symmetry is to the left of the y-axis
This means $-b/2a < 0$
We can let $-b/2a = -2$ (as an example).
$-b/2a = -2$
$-b/2a * 2a = -2*2a$
$-b = -4a$
Let $b=4$
$-4 = -4a$
$-4/-4 = -4a/-4$
$1 = a$
$ax^2+bx+c=0$
$1x^2+4x+2=0$
$x^2+4x+2$
$x^2+4x+2$
$x=-b/2a$
$x=-4/2*1$
$x=-4/2$
$x=-2$ (which is to the left of the y-axis)