markdanielsiii markdanielsiii
  • 12-10-2018
  • Mathematics
contestada

Find the vertex of this parabola. y = -2x2 + 4x + 12 A. (-4, 12) B. (-2, 6) C. (3, 6) D. (1, 14)

Respuesta :

jimrgrant1 jimrgrant1
  • 12-10-2018

D

given the equation of a parabola in standard form : ax² + bx + c = 0 ( a ≠ 0 )

then the x-coordinate of the vertex  = - [tex]\frac{b}{2a}[/tex]

y = - 2x² + 4x + 12 is in standard form

with a = - 2, b= 4 and c = 12

[tex]x_{vertex}[/tex] = - [tex]\frac{4}{-4}[/tex] = 1

substitute x = 1 into the equation for y

y = - 2(1)² + 4(1) + 12 = 14

vertex = (1, 14 )


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jabezfair10 jabezfair10
  • 12-10-2018

Answer: the answer is d




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