Provide an appropriate response.
-How can the graph of ow can the graph of f(x) 6 be obtained from the graph of 6 be obtained from the graph of y
A) Shift it horizontally 1 units to the left. Reflect it across the x-axis. Shift it 6 units up.
B) Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units down.
C) Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units up.
D) Shift it horizontally 1 units to the right. Reflect it across the x-axis. Shift it 6 units up.

Question

Provide an appropriate response.
-How can the graph of ow can the graph of f(x)  6 be obtained from the graph of 6 be obtained from the graph of y 
A) Shift it horizontally 1 units to the left. Reflect it across the x-axis. Shift it 6 units up. 
B) Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units down. 
C) Shift it horizontally 1 units to the right. Reflect it across the y-axis. Shift it 6 units up. 
D) Shift it horizontally 1 units to the right. Reflect it across the x-axis. Shift it 6 units up.

Quizplus · Accepted Answer

To obtain the graph of f(x), we need to shift the graph of y = -|x| + 6 one unit to the right (since the expression is of the form |x-a|, a shift of "a" units to the right is required), and then reflect it across the x-axis (since there is a negative sign in front of the absolute value). Finally, we need to shift it 6 units up, which is already done in the original expression. Thus, the correct sequence is: shift right 1 unit, reflect across x-axis, shift up 6 units. To obtain the graph of f(x), we need to shift the graph of y = 6 one unit to the right (since f(x) is y = 6 shifted to the right), reflect it across the x-axis (since f(x) is the inverse of y = 6), and shift it 6 units up (since f(x) is y = 6 shifted up). Therefore, the correct answer is D, which describes these actions.

Provide an Appropriate Response