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.
-$y = 1 + \frac { 1 } { x ^ { 2 } } \quad$ stretched vertically by a factor of 5
A) $y = 1 + \frac { 25 } { x ^ { 2 } }$
B) $y = 5 + \frac { 5 } { x ^ { 2 } }$
C) $y = 1 + \frac { 5 } { x ^ { 2 } }$
D) $y = \frac { 1 } { 5 } + \frac { 1 } { 5 x ^ { 2 } }$

Question

Quizplus · Accepted Answer

To stretch a graph vertically by a factor of 5, you multiply the entire function by 5. Therefore, $y = 5(1 + \frac{1}{x^2}) = 5 + \frac{5}{x^2}$.

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 $y = 1 + \frac { 1 } { x ^ { 2 } } \quad$