What is the effect on the graph of the function f (x) = |x| when f (x) is changed to f (4x) ? A) stretched vertically B) compressed vertically C) stretched horizontally D) compressed horizontally

Question

Honeybun

Mathematics

7 July, 19:50

What is the effect on the graph of the function f (x) = |x| when f (x) is changed to f (4x) ? A) stretched vertically B) compressed vertically C) stretched horizontally D) compressed horizontally

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Answers (2)

Know the Answer?

Leroy Sims · Answer 1

the correct answer is c i just got it wrong

Curly · Answer 2

D) compressed horizontally

Step-by-step explanation:

he graph of the function f (x) = |x|

f (x) is changed to f (4x)

When we multiply some number with f (x) outside, then there will be a vertical stretch or compression on the graph

When we multiply some number with x inside f (x), then there will be a horizontal stretch or compression on the graph

Here 4 is multiplied with x inside f (x)

If the number is greater than 0 and less than 1, then its a horizontal stretch

If the number is greater than 1 then it is a horizontal compression

Here 4 is greater than 1, so there will be a horizontal compression by a factor 1/4