Answer the question
-How can the graph of $f ( x ) = - \frac { 1 } { x ^ { 2 } } - 6$ be obtained from the graph of $y = \frac { 1 } { x ^ { 2 } }$ ?
A) By reflecting across the $y$-axis and making a horizontal shift of 6 units to the left
B) By making a horizontal shift of 1 unit to the right and a vertical shift of 6 units up
C) By reflecting across the $x$-axis and making a vertical shift of 6 units down
D) By making a horizontal shift of 6 units to the left and a vertical shift of 1 unit down

Question

Quizplus · Accepted Answer

The graph of $f(x) = -\frac{1}{x^2} - 6$ can be obtained from $y = \frac{1}{x^2}$ by first reflecting it across the $x$-axis (due to the negative sign, which inverts the graph) and then shifting it 6 units down (due to the "-6" term, which lowers the graph).

Answer the Question -How Can the Graph Of f(x)=−1x2−6f ( x ) = - \frac { 1 } { x ^ { 2 } } - 6f(x)=−x21​−6

Answer the Question
-How Can the Graph Of $f ( x ) = - \frac { 1 } { x ^ { 2 } } - 6$