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A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = - 2x² - 12x - 16

To complete the square the coefficient of the x² term must be 1

Factor out - 2 from - 2x² - 12x

f(x) = - 2(x² + 6x) - 16

add/ subtract ( half the coefficient of the x- term )² to x² + 6x

f(x) = - 2(x² + 2(3)x + 9 - 9 ) - 16

     = - 2(x + 3)² + 18 - 16

     = - 2(x + 3)² + 2 ; y = 2

Step-by-step explanation:

Seventy students hear the nurse speak, 37 heard the firefighter, and 63 heard the webmaster. Some students heard more than one speaker. The results are shown in the table:

Number of Students. . .Speaker

. . . . .15. . . . . . . . . .All three

. . . . .20. . . . . . . . . .nurse and firefighter

. . . . .30. . . . . . . . . .webmaster and nurse

. . . . .12. . . . . . . . . .firefighter only