Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g. reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3 shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3 shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3 shift right 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3 Select ALL the correct answers. Consider the graph of function g below.

-1   1/6.   you dont subtract the denominators

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.