zoelyfe8 zoelyfe8
  • 01-11-2018
  • Mathematics
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What is the vertical of the graph of this equation y=3x^2-12x-9

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frika
frika frika
  • 01-11-2018

The graph of the parabola is represented in the attached diagram.

The vertical axis of symmetry is the line with equation

[tex]x=-\dfrac{b}{2a}=-\dfrac{-12}{2\cdot 3}=2.[/tex]

This axis passes through the parabola vertex with coordinates:

  • x=2;
  • [tex]y=3\cdot 2^2-12\cdot 2-9=12-24-9=-21.[/tex]

Answer:  vertical axis of symmetry is line x=2.

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