what is the volume of the figure.

   2304 mm^3.

Step-by-step explanation:

This is a triangular prism and its volume is the area of the triangular base * the length

= 1/2 * 12 *16 * 24

=  2304 mm^3.

Intercepts at (0,7) and (0,03)

Vertex at (2,-25)

Step-by-step explanation:

Axis of symmetry is -b/2a = -(-4)/2(1) = 4/2 = 2   x=2

Plug x=2 into the equation and get 2^2-4(2)-21 = 4-8-21 = -25

Vertex is (2,-25)

Factor the equation (x-7)(x+3)

Set x-7=0, x=7

set x+3=0, x= -3

x intercepts at 7 and -3