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viktelen [127]
3 years ago
11

What is the effect on the graph of the function f(x) = x when f(x) is replaced with -1/2 f(x)?

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

C) horizontal reflection over y-axis and horizontal stretch

Step-by-step explanation:

1a- A vertical reflection over the x-axis occurs when a function f(x) is transformed into f(-x)

1b- A horizontal reflection over the y-axis occurs when a function f(x) is transformed into -f(x)

2a- A function is being compressed if f(x) is multiplied by a positive factor k: k f(x) with k>1

2b- A function is being stretched if f(x) is multiplied by a positive factor k: k f(x) with k

In our problem, the original function f(x) is:

- Multiplied by 1/2, so by a factor which is smaller than 1, so we are in case 2b

- Transformed from f(x) into -f(x) (due to the negative sign in front of it), so we are in case 1b

So, overall, we had a horizontal reflection over the y-axis and a stretch of the function.

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