document.write( "Question 203916: ``F(x)=1/5(x+5)^2+8
\n" ); document.write( "What is the vertex
\n" ); document.write( "the line of symmerty
\n" ); document.write( "what is the maximum/miniumum value of F(x)
\n" ); document.write( "Is the value of f(-5)=8 maixumum/minimum
\n" ); document.write( "and how would it look graphed.
\n" ); document.write( " Please Help, this is the only problem I am stuck on thank you''. \n" ); document.write( "

Algebra.Com's Answer #154086 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
The given equation $\"f%28x%29+=+%281%2F5%29%28x%2B5%29%5E2%2B8\"$ is in the form:
\n" ); document.write( " $\"f%28x%29+=+a%28x-h%29%5E2%2Bk\"$ and in this form, the vertex is located at the point (h, k), the line of symmetry is x = h.
\n" ); document.write( "So we have:
\n" ); document.write( " $\"a+=+%281%2F5%29\"$
\n" ); document.write( " $\"h+=+-5\"$
\n" ); document.write( " $\"k+=+8\"$
\n" ); document.write( "The vertex is at (-5, 8)
\n" ); document.write( "The equation of line of symmetry (LOS) is: $\"x+=+-5\"$ and
\n" ); document.write( " $\"f%28-5%29+=+8\"$ is a minimum because the parabola opens upward. (positive coefficient of the $\"x%5E2\"$ -term).
\n" ); document.write( "The graph looks like:
\n" ); document.write( " $\"graph%28400%2C400%2C-20%2C5%2C-5%2C20%2C%281%2F5%29%28x%2B5%29%5E2%2B8%29%29\"$ \n" ); document.write( "

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