Look at picture and plzz answer is more than one option

f(x) reflect over the x-axis, vertically stretch by a factor 3, and

shift down 1 unit ⇒ 2nd answer

Step-by-step explanation:

* To solve this problem you must to know some fact about

  transformation

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

- A vertical stretching is the stretching of the graph away from

 the x-axis

• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically

 stretched by multiplying each of its y-coordinates by k.

- A vertical compression is the squeezing of the graph toward

 the x-axis.

• if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed

 by multiplying each of its y-coordinates by k.

• if k should be negative, the vertical stretch or compress is

 followed by a reflection across the x-axis.  

* Now lets solve the problem

- From the graph

∵ The line passes through the points (0 , -1) and (-1 , 2)

∴ The slope of the line = (2 - -1)/(-1 - 0) = 3/-1 = -3

∵ The graph intersect the y-axis at point (0 , -1)

∵ The equation of any line ⇒ y = mx + c , where m is the slope

   of the line and c is the y-intercept

∵ m = -3 and y-intercept = -1

∴ y = -3x - 1 ⇒ g(x) = -3x - 1

∵ f(x) = x

* From all the transformation above

# -3x means the graph reflected over the x-axis, vertically stretch

  by a factor 3

# -1 means shift down 1 unit

# g(x) = -3f(x) - 1

∴ f(x) reflect over the x-axis, vertically stretch by a factor 3, and

  shift down 1 unit

* The second answer

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4