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Hi there!
Let's solve your problem step-by-step.
1. -f(x)
Since there is a negative in front of the f, it means a reflection over the x-axis. Therefore, the only description that would fit here would be f) f(x) is reflected over the x-axis.
2. f(x - 4)
The -4 on the inside of the parenthesis means that f(x) is being translated four units right. Hence, the only fitting description for this situation would be d) f(x) is translated 4 units right.
3. f(x) - 4
The -4 on the outside of the parenthesis means that the function f(x) is being translated vertically 4 units down. Therefore, the answer in this situation would be e) f(x) is translated 4 units down.
4. 4f(x)
The 4 in front of the f means a vertical stretch, as it is outside the parenthesis. It is a stretch because 4 is greater than 1. So, the answer to the problem here would be c) f(x) is vertically stretched by a factor of 4.
Hope my answers helped you and have a great day!

Asdfjkadfjkakjf Asdfjkadfjkakjf · Answer 2 · 2018-10-13T02:19:01+02:00

Answer:

see below for details

Step-by-step explanation:

1. -f(x) means everything above the x-axis will be down n vice versa. so its like a mirror image. ans is f. f(x) is reflected across the x-axis.

2. f(x-4) means for the original x, x-4 will be like move everything to its right by 4. ans is d. f(x) is translated 4 units right.

3. f(x)-4 means the -4 is outside so it applies to the function value and everything moves down by 4. ans is e. f(x) is translated 4 units down

4. 4f(x) means all function values are multiplied by 4 as in magnified. ans is c. f(x) is vertically stretched by 4.