Rewrite each relation in the form y = a(x-h)2 + k by completing the square, then state the vertex. y = -2x^2 – 12x - 7

Explanation:

h = b/2a

h= -12/2(-2)

h= -12/-4

h= 3

k = 4ac - b^2/ 4a

k = 4(-2)(-7) - (-12)^2/ 4(-2)

k = 56 - 144 / -8

k = -88 / -8

k = 11

y = -2x^2 - 12x - 7 in the form a(x-h)^2 + k

= -2(x + 3)^2 + 11

vertex = (h,k)

therefore the vertex is 3 and 11

united states reinforcements contributed greatly to three allied victories in france at: cantigny (first major american battle), argonne (the largest in the united states military history, involving 1.2 million american soldiers), and château-thierry (one of the first actions under general pershing).

during world war ii