document.write( "Question 942178: What is the equation of the inverse of y = 2(x-2)^2 - 3. Is the original and inverse equations a function? Justify your response. \n" ); document.write( "

Algebra.Com's Answer #574317 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Interchange x and y.
\n" ); document.write( " $\"x=2%28y-2%29%5E2-3\"$
\n" ); document.write( "Now solve for y, that'll be the inverse.
\n" ); document.write( " $\"x%2B3=2%28y-2%29%5E2\"$
\n" ); document.write( " $\"%28y-2%29%5E2=%28x%2B3%29%2F2\"$
\n" ); document.write( " $\"y-2=0+%2B-+sqrt%28%28x%2B3%29%2F2%29\"$
\n" ); document.write( " $\"y=+2+%2B-+sqrt%28%28x%2B3%29%2F2%29\"$
\n" ); document.write( "Original is a function.
\n" ); document.write( "Inverse is not (multiple y values for one x value)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );