For the parent function ( f(x) = x² ), derive the formula for the transformed function ( g(x) = -f(x+1) - 5 ) and provide an ordered pair transformation under ( g(x) ).
a) Transformed function: ( g(x) = -(x+1)² - 5 ), Transformed point: ( (-1,-6) )
b) Transformed function: ( g(x) = -(x-1)² + 5 ), Transformed point: ( (1,-6) )
c) Transformed function: ( g(x) = -(x+1)² + 5 ), Transformed point: ( (-1,4) )
d) Transformed function: ( g(x) = -(x-1)² - 5 ), Transformed point: ( (1,4) )