document.write( "Question 1158487: When the value of a is less than 0 in the equation y = a∛(x - h) + k, the graph will be...\r
\n" ); document.write( "\n" ); document.write( "closer to the y axis,
\n" ); document.write( "the same as the parent function graph,
\n" ); document.write( "farther from the y axis,
\n" ); document.write( "reflected across the x axis? \n" ); document.write( "

Algebra.Com's Answer #854608 by KMST(5392) $\"\"$ $\"About$

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$\"y=a%2Aroot%283%2Cx-h%29\"$ has a graph that crosses the x-axis at $\"x=h\"$ .
\n" ); document.write( "The function increases for $\"a%3E0\"$ , like $\"y=root%283%2Cx-1%29\"$ : $\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%28x-1%29%5E%281%2F3%29%2C-%281-x%29%5E%281%2F3%29%29\"$ ,
\n" ); document.write( "and decreases for $\"a%3C0\"$ , like $\"y=-2root%283%2Cx-1%29\"$ :

.
\n" ); document.write( "The greater the value of $\"abs%28a%29\"$ , the steeper the curve.
\n" ); document.write( "We can say something similar about $\"y=a%2Aroot%283%2Cx-h%29%2Bk\"$ , except that at $\"x=h\"$ } the function crosses the line $\"y=k\"$ ,
\n" ); document.write( "as for $\"y=root%283%2Cx-1%29%2B2\"$ :

, or $\"y=-2root%283%2Cx-1%29\"$ :

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