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## anonymous 5 years ago What is the domain and range of the quadratic equation y = -2x^2 - 32x - 126?

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1. anonymous

domain unless otherwise specified is all real numbers

2. anonymous

range is $(-\infty, 2]$

3. 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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