Label the vertex of this function:

vertex = ( - ,   )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

= -

Given

y = - 3(x - 1)(x + 4) ← expand the factors using FOIL

  = - 3(x² + 3x - 4) ← distribute parenthesis by - 3

  = - 3x² - 9x + 12 ← in standard form

with a = - 3 and b = - 9 , thus

= - = -

Substitute this value into the equation for corresponding value of y

y = - 3( - - 1)( - + 4)

  = - 3 × - ×

  = - 3 × -

  =  

Thus

vertex = ( - , )

step-by-step explanation:

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