jordynbrock3248 jordynbrock3248
  • 26-05-2017
  • Mathematics
contestada

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 kphung76127
  • 26-05-2017
f(x)=3x. X multiplied by 3 is 3x.
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wagonbelleville wagonbelleville
  • 19-03-2019

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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