jordynbrock3248 jordynbrock3248

Today at 2:13 PM
Mathematics

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If you vertically stretch the linear parent function, F(x) = x, by multiplying by 3, what is the equation of the new function?

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kphung76127 kphung76127

Today at 2:18 PM

f(x)=3x. X multiplied by 3 is 3x.

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wagonbelleville wagonbelleville

Today at 2:19 PM

Answer:

The new function is [tex]g(x)=3x[/tex]

Step-by-step explanation:

We are given the function [tex]f(x)=x[/tex].

Now, the function f(x) is vertically stretched by a factor of 3.

We know that,

Vertical stretch changes the function f(x) by [tex]kf(x)[/tex], where k is any constant.

So, we get that,

The vertically stretched function is [tex]g(x)=3f(x)[/tex] i.e. [tex]g(x)=3x[/tex].

Hence, the equation of the new function is [tex]g(x)=3x[/tex].

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