Question

the graph of y=|x| is transformed as shown in the graph below , which equation represents the transformed function

Answer 1

Answer:

$y=|\frac{1}{4}x|$

Step-by-step explanation:

Given that

transformed graph of the parent graph y=|x|

The transformed function is shown below:-

We see the graph at y=1 x reaches to 4 i.e, x=4

In the Same manner at y = 1

and x reaches to -4

that is

x=-4

Now, as per the options that are given in the question

The graph would be satisfied these two points would become transformation

$y=|\frac{1}{4}x|$

Now,

At x=4

$y=|\frac{1}{4}x|$

$y=|\frac{1}{4}(4)|$

y = 1

we can say that the point totally satisfied the equation.

So, Option 1 is right that is

$y=|\frac{1}{4}x|$

With the help of a diagram we can go through as attached.