document.write( "Question 999447: For the problem f(x)=×2+2x-15, I need to find the vertex, the x and y intercepts, axis of symmetry, and the concavity.
\n" ); document.write( "If you could show how you got your answers so I can try to solve it and get the right answer, that would be awesome. I need to understand HOW to do the problwm so I can solve all the other questions on my homework. \n" ); document.write( "

Algebra.Com's Answer #617178 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
You need to complete the square to put the equation in vertex form.
\n" ); document.write( "If you're unsure how to do this, search on \"completing the square\" on YouTube.
\n" ); document.write( " $\"f%28x%29=x%5E2%2B2x-15\"$
\n" ); document.write( " $\"f%28x%29=%28x%5E2%2B2x%2B1%29-1-15\"$
\n" ); document.write( " $\"f%28x%29=%28x%2B1%29%5E2-16\"$
\n" ); document.write( "So the vertex is ( $\"-1\"$ , $\"-16\"$ ).
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\n" ); document.write( "The vertex lies on the axis of symmetry $\"x=-1\"$ .
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\n" ); document.write( "For the x-intercepts,
\n" ); document.write( " $\"0=%28x%2B1%29%5E2-16\"$
\n" ); document.write( " $\"%28x%2B1%29%5E2=16\"$
\n" ); document.write( " $\"x%2B1=0+%2B-+4\"$
\n" ); document.write( " $\"x=-1+%2B-+4\"$
\n" ); document.write( " $\"x=3\"$ and $\"x=-5\"$
\n" ); document.write( "(3,0) and (-5,0)
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\n" ); document.write( "For the y-intercept,
\n" ); document.write( " $\"y=%280%2B1%29%5E2-16\"$
\n" ); document.write( " $\"y=1-16\"$
\n" ); document.write( " $\"y=-15\"$
\n" ); document.write( "(0,-15)
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