How can the graph of $f ( x ) = - \frac { 6 } { x }$ be obtained from the graph of $y = \frac { 1 } { x }$ ?
A) By making a horizontal shift of 6 units down
B) By reflecting across the $x$-axis and stretching horizontally by a factor of 6
C) By reflecting across the $x$-axis and stretching vertically by a factor of 6
D) By reflecting across the $y$-axis and shrinking vertically by a factor of 6

Question

Quizplus · Accepted Answer

The graph of $f(x) = -\frac{6}{x}$ can be obtained from the graph of $y = \frac{1}{x}$ by first reflecting it across the $x$-axis (due to the negative sign) and then stretching it vertically by a factor of 6 (because of the multiplication by 6).

How Can the Graph Of f(x)=−6xf ( x ) = - \frac { 6 } { x }f(x)=−x6​

How Can the Graph Of $f ( x ) = - \frac { 6 } { x }$