Solve the Problem $y = - x ^ { 2 }$

Multiple Choice

Solve the problem.
-The accompanying figure shows the graph of $y = - x ^ { 2 }$ shifted to a new position. Write the equation for the new graph.

A) $y = - ( x + 4 ) ^ { 2 }$
B) $y = - ( x - 4 ) ^ { 2 }$
C) $y = - x ^ { 2 } + 4$
D) $y = - x ^ { 2 } - 4$