document.write( "Question 918916: Give the open interval on which the function is increasing:
\n" ); document.write( "f(x)=(x-3)^2-2 \n" ); document.write( "

Algebra.Com's Answer #557316 by MathLover1(20850) $\"\"$ $\"About$

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$\"f%28x%29=%28x-3%29%5E2-2\"$ \r
\n" ); document.write( "\n" ); document.write( "it's a parabola, opens upward\r
\n" ); document.write( "\n" ); document.write( "first find the vertex- a point where the parabola makes its sharpest turn
\n" ); document.write( " $\"k=-2\"$ ; so,the vertex is at ( $\"3\"$ , $\"-2\"$ )\r
\n" ); document.write( "\n" ); document.write( " from $\"f%28x%29=%28x-3%29%5E2-2\"$ we see that $\"h=3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28x-3%29%5E2-2%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "the open interval on which the function is increasing:\r
\n" ); document.write( "\n" ); document.write( "looking at the vertex, parabola increasing from $\"x=3\"$ to $\"infinity\"$ \r
\n" ); document.write( "\n" ); document.write( "so, interval is:\r
\n" ); document.write( "\n" ); document.write( "( $\"3\"$ , $\"infinity\"$ )\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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