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

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andromache andromache · Answer 1 · 2020-07-14T06:20:23+02:00

Answer:

[tex]y=|\frac{1}{4}x|[/tex]

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

[tex]y=|\frac{1}{4}x|[/tex]

Now,

At x=4

[tex]y=|\frac{1}{4}x|[/tex]

[tex]y=|\frac{1}{4}(4)|[/tex]

y = 1

we can say that the point totally satisfied the equation.

So, Option 1 is right that is

[tex]y=|\frac{1}{4}x|[/tex]

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

ibiscollingwood ibiscollingwood · Answer 2 · 2022-01-27T11:27:16+01:00

The Function for given graph will be [tex]y=|\frac{1}{4} x|[/tex]

If the graph of f(x) is given, then the graph of [tex]f(\frac{1}{k} x)[/tex] is stretch by a factor of k.

Here function is given that, y=|x|

From given graph it is observed that, graph is stretched by a factor of 4.

So that function for given graph will be,

[tex]y=|\frac{1}{4} x|[/tex]

Graph is attached below,

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