document.write( "Question 322171: 1.For each quadratic function, state: direction of opening, vertex, equation of axis of symmetry, coordinates of maximum or minimum and domain and range.
\n" ); document.write( "(a)y=-2x^2-3 \n" ); document.write( "

Algebra.Com's Answer #230634 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "The lead coefficient is positive, so it opens up.\r
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\n" ); document.write( "\n" ); document.write( "There is no 1st degree term, so the vertex is the

-axis. Therefore the value of the

-coordinate of the vertex is 0 and the value of the function when

is zero is

, hence the vertex is at the point

.\r
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\n" ); document.write( "\n" ); document.write( "The axis of symmetry is the vertical line passing through the vertex. The equation of any vertical line is

where

is the

-coordinate of any point on the line. Since we know the vertex is on the line and we have already determined that the

-coordinate of the vertex is 0...\r
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\n" ); document.write( "\n" ); document.write( "The parabola opens upward, so the vertex is a minimum.\r
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\n" ); document.write( "\n" ); document.write( "The domain of any polynomial function with real-valued coefficients is the set of real numbers.\r
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\n" ); document.write( "\n" ); document.write( "The range of a parabola that opens upward is

\r
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\n" ); document.write( "\n" ); document.write( "where

is the

-coordinate of the vertex.\r
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