Question

The graph of y=[x] is transformed as shown in the graph below. Which equation represents the transformed function.

Answer 1

Answer:

Option 1 - $y=|\frac{1}{4}x|$  

Step-by-step explanation:

Given : The graph of y=|x| is transformed as shown in the graph below.

To find : Which equation represents the transformed function?

Solution :

We have given the transformed graph of the parent graph y=|x|.

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

Same way at y=1 x reaches to -4 i.e, x=-4

So, In the given options the graph satisfying these two points will be the transformation.

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

At x=4

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

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

$y=1$

The point satisfy the equation.

Therefore, Option 1- The transformed function is $y=|\frac{1}{4}x|$

We can also see through graph.

Refer the attached figure below.

Answer 2

|1/4x| is the right answer