document.write( "Question 1208022: Assume that f(3) = 4. Name a point that must be on the graph of y= -5f(2x - 3) + 1 \n" ); document.write( "

Algebra.Com's Answer #846139 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Assume that f(3) = 4. Name a point that must be on the graph of y= -5f(2x - 3) + 1
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document.write( "First, we want the argument 2x-3 be 3.\r\n" );
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document.write( "So, we write this equation\r\n" );
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document.write( "    2x - 3 = 3.\r\n" );
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document.write( "Then we solve it  and find  x =  =  = 3.\r\n" );
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document.write( "Next,  we want to calculate  y = -5f(2x-3) + 1.\r\n" );
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document.write( "We just know that 2x-3 is 3, because we found x in this way.\r\n" );
document.write( "So, we write\r\n" );
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document.write( "    y = = -5f(3) + 1 = (at this point, we know and use that f(3)=4, so we continue) = -5*4 + 1 = -20 + 1 = -19.\r\n" );
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document.write( "Thus the point  (x,y) = (3,-19)  is on the graph  y = -5f(2x-3) + 1.\r\n" );
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document.write( "ANSWER.  If f(3) = 4,  then the point which must be on the graph  y = -5f(2x-3) + 1  is  (x,y) = (3,-19).\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a real    $\"highlight%28highlight%28TEMPLATE%29%29\"$   for you to solve many other similar problems.\r
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\n" ); document.write( "\n" ); document.write( "To see other similar solved problems, look into the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Given a point on a plot of a function, find the corresponding point on the plot of transformed function \r
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\n" ); document.write( "\n" ); document.write( "It is to make your horizon wider.\r
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