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The cost of manufacturing x refrigerators is given by the function
f(x)= 2x^2 + 6000. If the cost doubles for the year 2011 owing to higher raw material prices, which transformation will result in the graph of f(x)?

A) reflection
B) vertical stretch
C) vertical shrink
D) horizontal shrink
E) horizontal stretch


Random answers will be reported!!

Respuesta :

Answer:

B) vertical stretch

Step-by-step explanation:

Given that the cost of manufacturing x refrigerators is given by the function [tex]f(x)= 2x^2 + 6000[/tex].

Now it says that the cost doubles for the year 2011 owing to higher raw material prices. So that means cost function will change from f(x) to 2f(x).

Now we need to decide the type of transformation from f(x) to 2f(x).

Remember that when f(x) changes to a*f(x) where value of "a" is greater than 1 then it stretches the function vertically by factor of "a".

in 2f(x), we have a=2

So that means "B) vertical stretch" is the correct choice.

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