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

Question

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

Quizplus · Accepted Answer

The graph has been shifted to the left by 2 units, which means we need to add 2 in parentheses to the x. Also, the graph has been reflected across the y-axis, which means we need a negative sign in front of the entire expression. Thus, the equation is $y = - (x + 2)^2$.

Solve the Problem y=−x2y = - x ^ { 2 }y=−x2

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