The problem tells by what factor and direction the graph of the given function is to be stretched or compressed. Give an
equation for the stretched or compressed graph.
-$y = 1 + \frac { 1 } { x ^ { 2 } } \quad$ compressed horizontally by a factor of 3
A) $y = \frac { 1 } { 3 } + \frac { 1 } { 3 x ^ { 2 } }$
B) $y = 1 + \frac { 9 } { x ^ { 2 } }$
C) $y = 3 + \frac { 3 } { x ^ { 2 } }$
D) $y = 1 + \frac { 1 } { 9 x ^ { 2 } }$

Question

Quizplus · Accepted Answer

When a graph is compressed horizontally by a factor of 3, the new equation is obtained by replacing $x$ with $\frac{x}{3}$ in the original equation. So, the new equation is $$y = 1 + \frac { 1 } { (\frac{x}{3})^2 } = 1 + \frac { 1 } { \frac{x^2}{9} } = 1 + \frac { 9 } { x ^ { 2 } }$$

The Problem Tells by What Factor and Direction the Graph y=1+1x2y = 1 + \frac { 1 } { x ^ { 2 } } \quady=1+x21​

The Problem Tells by What Factor and Direction the Graph $y = 1 + \frac { 1 } { x ^ { 2 } } \quad$