Provide an appropriate response.
-How can the graph of be obtained from the graph of
A) Shift it horizontally 1 units to the left. Reflect it across the y-axis.
B) Shift it horizontally -1 units to the left. Reflect it across the x-axis.
C) Shift it horizontally 1 units to the left. Reflect it across the x-axis.
D) Shift it horizontally 1 units to the right. Reflect it across the x-axis.

Question

Provide an appropriate response.
-How can the graph of  be obtained from the graph of 
A) Shift it horizontally 1 units to the left. Reflect it across the y-axis. 
B) Shift it horizontally -1 units to the left. Reflect it across the x-axis. 
C) Shift it horizontally 1 units to the left. Reflect it across the x-axis. 
D) Shift it horizontally 1 units to the right. Reflect it across the x-axis.

Quizplus · Accepted Answer

To get from the first graph to the second graph, we need to move it 1 unit to the left (based on the x-axis) and then reflect it across the x-axis. Choice C is the only option that includes both of these transformations. To obtain the graph of 11ebb6d7_48dc_19ca_b437_d3e93cc04188_TB8593_11 from the graph of 11ebb6d7_48dc_19cb_b437_e9f3ebb32a29_TB8593_11, we need to shift it horizontally 1 unit to the left because the x-coordinates of all the points need to decrease by 1. Then, we need to reflect it across the x-axis because all the y-coordinates need to change their signs. Therefore, the correct choice is C.

Provide an Appropriate Response