Answer
Graph A: $y = -0.5 x^2-x+7$
Graph B: $y = x^2+4 x+4$
Graph C: $-2 x^2-6 x-7$
None: $y=x^2-5 x-6$
Work Step by Step
Graph A can be matched with the parabola:
$$
y=2(x-3)^2-9.
$$ This is because it opens upward, $a= 2$, and has a $y$-intercept of about $(3,-9)$.
Graph B matched with $$y=2(x+4)^2-9.$$ It opens upward
$y$-intercept: $(-4,-9)$.
Graph C matched with $$y=2(x+4)^2+1.$$ It opens upward
$y$-intercept: $(-4,1)$.
None: $$y=-2(x-3)^2-9.$$ It opens downward
$y$-intercept: $(3,-9)$.
