Answer the question.
-How can the graph of $f ( x ) = - \frac { 1 } { x } + 6$ be obtained from the graph of $y = \frac { 1 } { x } ?$
A) Reflect it across the x -axis. Shift it 6 units up.
B) Reflect it across the y-axis. Shift it 6 units up.
C) Reflect it across the x -axis. Shift it 6 units down.
D) Reflect it across the y-axis. Shift it 6 units down.

Question

Answer the question.
-How can the graph of $f ( x ) = - \frac { 1 } { x } + 6$ be obtained from the graph of $y = \frac { 1 } { x } ?$
A) Reflect it across the  x -axis. Shift it 6 units up.
B) Reflect it across the y-axis. Shift it 6 units up.
C) Reflect it across the  x -axis. Shift it 6 units down.
D) Reflect it across the y-axis. Shift it 6 units down.

Quizplus · Accepted Answer

The graph of $f(x) = -\frac{1}{x} + 6$ can be obtained from $y = \frac{1}{x}$ by first reflecting it across the x-axis (due to the negative sign, which inverts the graph), and then shifting it 6 units up (due to the "+ 6" term, which moves the graph upwards).

Answer the Question f(x)=−1x+6f ( x ) = - \frac { 1 } { x } + 6f(x)=−x1​+6

Answer the Question $f ( x ) = - \frac { 1 } { x } + 6$