document.write( "Question 776955: Determine the x-intercept, the vertex, the direction of opening and the domain/range.\r
\n" ); document.write( "\n" ); document.write( "x=(x+6)(2x-5)\r
\n" ); document.write( "\n" ); document.write( "The only thing I know is that the y-intercept is -30 because I expanded it into
\n" ); document.write( "x= 2x^2 + 7x - 30 and that it opens upward because 2x^2 is postive\r
\n" ); document.write( "\n" ); document.write( "I haven't done Math in months, so I'm completely stomped on these review questions \n" ); document.write( "

Algebra.Com's Answer #473828 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
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\n" ); document.write( "\n" ); document.write( "Your terminology is incorrect. -30 is NOT the

-intercept. -30 is the

-coordinate of the

-intercept. The

-intercept is the point

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

-coordinate of the vertex of

is given by

. The

-coordinate of the vertex is the value of the function at the vertex

-value, or

. Just plug in your numbers and do the arithmetic.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The

-intercepts are the points

and

where

and

are the zeros of the function. These should be obvious because you started with the function already factored.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You are correct about the direction of opening.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This is a polynomial function so the domain is all real numbers. The range is the interval [

)\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "Egw to Beta kai to Sigma
\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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