document.write( "Question 1078803: The function f(x)=a√(x-h) +k has a maximal domain of [2, ∞) and range of (- ∞,3]. its graph passes through the point (6,-3). Find the equation of this function in the form f(x)=a√(x-h) +k.
\n" ); document.write( "√ symbol mean square root.
\n" ); document.write( "the answers-3√(x-2) +3.
\n" ); document.write( "can you explain to me how to get the answers? \n" ); document.write( "

Algebra.Com's Answer #693191 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=a%2Asqrt%28x-h%29+%2Bk+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"h\"$ is the horizontal shift and $\"k\"$ is the vertical shift\r
\n" ); document.write( "\n" ); document.write( "given:
\n" ); document.write( "has a maximal domain of [ $\"2\"$ , $\"infinity\"$ ) => means if $\"x=2\"$ than $\"2-h=0\"$ => $\"highlight%28h=2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "and range of ( $\"-infinity\"$ , $\"3\"$ ]=> means $\"k=3\"$ ( so,for $\"x=2\"$ we will have $\"y=3\"$ )\r
\n" ); document.write( "\n" ); document.write( " so far, your equation is: $\"f%28x%29=a%2Asqrt%28x-2%29+%2B3+\"$ \r
\n" ); document.write( "\n" ); document.write( "(6,-3)
\n" ); document.write( "now use given point point ( $\"6\"$ , $\"-3\"$ ) to find $\"a\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"-3=a%2Asqrt%286-2%29+%2B3+\"$
\n" ); document.write( " $\"-3-3=a%2Asqrt%284%29+\"$
\n" ); document.write( " $\"-6=a%2A2+\"$
\n" ); document.write( " $\"-3=a+\"$
\n" ); document.write( " $\"highlight%28a=-3%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "and, your equation is: $\"f%28x%29=-3%2Asqrt%28x-2%29+%2B3+\"$ \r
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