document.write( "Question 1134689: What is the transformation of the quadratic -3(x + 8)^2 - 10?
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Algebra.Com's Answer #752147 by MathLover1(20849) $\"\"$ $\"About$

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What is the transformation of the quadratic $\"-3%28x+%2B+8%29%5E2+-10\"$ ?\r
\n" ); document.write( "\n" ); document.write( " the basic quadratic is:\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29+=+x%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "The standard form of a quadratic function presents the function in the form:\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=a%28x-h%29%5E2%2Bk\"$ \r
\n" ); document.write( "\n" ); document.write( "so, $\"-3%28x+%2B+8%29%5E2+-+10\"$ we see that\r
\n" ); document.write( "\n" ); document.write( "you have $\"-f%28x%29\"$ , so it reflects the function in the x-axis (that is, upside-down)\r
\n" ); document.write( "\n" ); document.write( " $\"a=-3\"$ -> if $\"abs%28a%29%3C1\"$ , the point associated with a particular x value shifts closer to the -x - axis, so the graph appears to become wider, but in fact there is a vertical compression\r
\n" ); document.write( "\n" ); document.write( " $\"h=-8\"$ ->shifts eight units to the left\r
\n" ); document.write( "\n" ); document.write( " $\"k=-10\"$ ->the \" $\"-10\"$ \" outside the function tells me that the graph is going to be moved $\"down\"$ by $\"ten\"$ $\"+units\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2C-3%28x%5E2%2B16x%2B64%29-10%29+\"$ \r
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