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: $$
y = -0.5 x^2-x+7.
$$ This is because is opens downward, $a= -0.5$, and has a y-intercept of about $(0,7)$.
Graph B matched with: $$
y = x^2+4 x+4.
$$ Opens upward
$y$-intercept: $(0,4)$
Graph C matched with: $$
y=-2 x^2-6 x-7.
$$ Opens downward
$y$-intercept: $(0,-7)$
Matched with none: $$
y=x^2-5 x-6.
$$ Opens downward
$y$-intercept: $(0,-6)$
