Answer
a) (0,2)
b) $x = -2.5$
c) $b = 5$
d) $x^2+5x+2$
e) Please see the work below to show the equation is correct.
f) No--we had to calculate $b$ and $c$
Work Step by Step
a) The graph crosses the y-axis at (0,2)
b)
$(-1+-4)/2 = -5/2 = -2.5$
c)
$-2.5 = -b/2a$
$-2.5 = -b/2$
$-2.5*-2 = -b/2*-2$
$5 = b$
d) $b=5$, $c=2$
e)
$x^2+5x+2=y$
$y = (-1)^2+5*(-1)+2$
$y = 1-5+2$
$y= -2$