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:
$$
y=x^2-6 x+10.
$$ This is because it opens upward, $a= 1$, and has a $y$-intercept of about $(0,10)$.
Graph B matched with: $$y=-0.3 x^2+2 x+3.$$ It opens downward
$y$-intercept: $(0,3)$.
Graph C matched with: $$y=-3 x^2+12 x-8.$$ It opens downward
$y$-intercept: $(0,-8)$.
Graph D matched with none: $$y=x^2-3 x-4.$$ It opens upward
$y$-intercept: $(0,-4)$.
