document.write( "Question 968375: What is the lowest point on the graph of y=2(x+5)^2−4? Explain how you can be sure there is no point lower on its graph. \n" ); document.write( "

Algebra.Com's Answer #591780 by KMST(5328) $\"\"$ $\"About$

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The lowest point on the graph is (-5,-4), with $\"system%28x=-5%2Cy=-4%29\"$ .
\n" ); document.write( " If $\"x=-5\"$ , $\"x%2B5=0\"$ , then $\"%28x%2B5%29%5E2=0\"$ , and $\"y=2%28x%2B5%29%5E2-4=2%2A0-4=0-4=-4\"$
\n" ); document.write( "For all other values of x, the y value is greater:
\n" ); document.write( "If $\"x%3C%3E-5\"$ , then $\"%28x%2B5%29%5E2%3E0\"$ , $\"%28x%2B5%29%5E2%3E0\"$ , $\"y=2%28x%2B5%29%5E2-4%3E0-4\"$ , and $\"y=2%28x%2B5%29%5E2-4%3E-4\"$ . \n" ); document.write( "

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