What is the effect on the graph of the function f(x) = x when f(x) is replaced with -1/2 f(x)? a) vertical reflection over x-axis and vertical stretch b) vertical reflection over x-axis and vertical compression c) horizontal reflection over y-axis and horizontal stretch d) horizontal reflection over y-axis and horizontal compression

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 is transformed into

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

2a- A function is being compressed if is multiplied by a positive factor k: with

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

In our problem, the original function is:

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

- Transformed from into (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.

28

step-by-step explanation:

8+8+6+6

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10