Fill in each blank with the appropriate response.
-The graph of $y = - 5 ( x + 3 ) ^ { 2 } - 7$ can be obtained from the graph of $y = x ^ { 2 }$ by shifting horizontallyــــــــ units to the , vertically stretching by a factor ofــــــــ , reflecting across theـــــــــــ -axis, and shifting vertically ــــــــــــunits in the ــــــــــــdirection.
A) 3; right; 5; x; 7; downward
B) 3; right; 5; x; 7; upward
C) 3; left; 7; x; 5; downward
D) 3; left; 5; x; 7; downward

Question

Quizplus · Accepted Answer

The graph is shifted 3 units to the left due to the $x + 3$ term, vertically stretched by a factor of 5 because of the coefficient $-5$, reflected across the x-axis due to the negative sign in front of the 5, and shifted vertically 7 units downward because of the $-7$ term at the end.

Fill in Each Blank with the Appropriate Response y=−5(x+3)2−7y = - 5 ( x + 3 ) ^ { 2 } - 7y=−5(x+3)2−7

Fill in Each Blank with the Appropriate Response $y = - 5 ( x + 3 ) ^ { 2 } - 7$