The Point $( 3,9 )$ On the Graph Of $f ( x ) = x ^ { 2 }$

Multiple Choice

The point $( 3,9 )$ on the graph of $f ( x ) = x ^ { 2 }$ has been shifted to the point $( 4,7 )$ after a rigid transformation. Identify the shift and write the new function $g$ in terms of $f$ .

A) Shift: shifted 1 unit to the left. $h ( x ) = ( x + 1 ) ^ { 2 }$
B) Shift: horizontally 3 units to the left and vertically 2 units downward. $h ( x ) = ( x + 3 ) ^ { 2 } - 2$
C) Shift: horizontally 2 units to the right and vertically 1 unit upward. $h ( x ) = ( x - 2 ) ^ { 2 } + 1$
D) Shift: horizontally 1 unit to the right and vertically 2 units downward. $h ( x ) = ( x - 1 ) ^ { 2 } - 2$
E) Shift: shifted 1 unit upward. $h ( x ) = x ^ { 2 } + 1$