
You reflect a function with respect to the
axis by changing its sign.
In fact, if you consider the two alternatives
and 
you can see that you're choosing opposite outputs for the same inputs.
In other words, one graph will be made of points like
, the other of points like 
And the transformation

is exactly a reflection with respect to the
axis.
By the term dilated we mean to say that the dimensions of the new polyhedron is increase to a certain size by that times. For the volume, this dilation scale should be cubed in order to determine the number of times the volume of new figure is larger than the original.
r = (1.5)³
= 3.375
Thus, the volume of the new prism is 3.375 times larger than the volume of the original prism.
(x+7)(x+3) so therefore you set each equation = 0...
x + 7 = 0
x + 3= 0
and solve
x = -3
x = -7