ellysonknicholson23 ellysonknicholson23
  • 13-07-2022
  • Mathematics
contestada

What is the equation of the graph that represents the parent function f(x)= x^4 stretched vertically by a factor of 2, then shifted down 3 spaces

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MrRoyal
MrRoyal MrRoyal
  • 14-07-2022

The equation of the function is f"(x) = 2x^2 - 3

How to determine the equation?

The parent function is given as:

f(x) = x^4

When it is stretched vertically by a factor of 2, the rule is

f'(x) = 2f(x)

So, we have

f'(x) = 2x^2

When shifted down 3 spaces, the rule is

f"(x) = f'(x) - 3

So, we have:

f"(x) = 2x^2 - 3

Hence, the equation of the function is f"(x) = 2x^2 - 3

Read more about function transformation at:

https://brainly.com/question/13810353

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