anonymous
  • anonymous
What is the domain and range of the quadratic equation y = -2x^2 - 32x - 126?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
domain unless otherwise specified is all real numbers
anonymous
  • anonymous
range is \[(-\infty, 2]\]
anonymous
  • anonymous
this is a parabola that opens down, so the range will be from negative infinity to the maximum, which is the second coordinate of the vertex. first coordinate of the vertex is \[-\frac{b}{2a}=-\frac{-32}{2\times -2}=-8\] and if you replace x by -8 you get \[y=2\] so that is the max

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