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Write a function g whose graph represents a horizontal stretch by a factor of 4 of the graph of f(x)=|x+3|.

g(x)=


Sagot :

g(x) = |¼x + 3|

Step-by-step explanation:

f(x) = |x+3|

horizontal stretch 4

g(x)

⬇️

g(x) = |¼x + 3|

View image ninaa862

A function g whose graph represents a horizontal stretch by a factor of 4 of the graph of f(x)=|x+3| will be g(x) = |¼x + 3|

How to find the function which was used to make graph?

A graph contains data of which input maps to which output.

An Analysis of this leads to the relations which were used to make it.

If the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We have to Write a function g whose graph represents a horizontal stretch by a factor of 4 of the graph of f(x)=|x+3|.

f(x) = |x+3|

Now, horizontal stretch 4

g(x) = |¼x + 3|

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