Given the parent function of f (x) = x^4, what change will occur when the function is changed to - f (1/2x) ?

A.) Graph opens the same way and is narrower

B.) Graph opens the same way and is wider

C.) Graph opens the opposite way and is narrower

D.) Graph opens the opposite way and is wider

Question

Daisy

Mathematics

1 January, 06:01

Given the parent function of f (x) = x^4, what change will occur when the function is changed to - f (1/2x) ?

A.) Graph opens the same way and is narrower

B.) Graph opens the same way and is wider

C.) Graph opens the opposite way and is narrower

D.) Graph opens the opposite way and is wider

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Answers (1)

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Conway · Answer 1

We are given with a function equal to f (x) = x^4. When the function is changed to - f (1/2x), the function changes to - f (1/2x) = (1/2 x) ^4 equal to (-1/16 x^4). The graph of the function should be opening the opposite way and has a narrower plot. answer is C

Given the parent function of f (x) = x^4, what change will occur when the function is changed to - f (1/2x) ?A.) Graph opens the same way and is narrowerB.) Graph opens the same way and is widerC.) Graph opens the opposite way and is narrowerD.) Graph opens the opposite way and is wider

Given the parent function of f (x) = x^4, what change will occur when the function is changed to - f (1/2x) ?

A.) Graph opens the same way and is narrower

B.) Graph opens the same way and is wider

C.) Graph opens the opposite way and is narrower

D.) Graph opens the opposite way and is wider