Select all the correct answers.
consider the graph of function g below.
determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.

Options a, c and d

Step-by-step explanation:

Given the parent function f(x) = x, and calling g(x) its transformation. In the plot we see the following equation: -3*x -1

Option a

reflect over the y-axis: g(x) = -x

then vertically stretch by a factor of 3: g(x) = -3*x

and then shift down 1 unit: g(x) = -3*x -1

Option b

Shift left 2 units: g(x) = x + 2

then reflect over the x-axis: g(x) = -x - 2

and then vertically stretch by a factor of 3: g(x) = -3*x - 2

Option c

reflect over the x-axis: g(x) = -x

then vertically stretch by a factor of 3: g(x) = -3*x

and then shift down 1 unit: g(x) = -3*x -1

Option d

Shift right 1 unit: g(x) = x - 1

then reflect over the y-axis: g(x) = -x - 1

and then vertically stretch by a factor of 3: g(x) = -3*x - 1

Option e

Shift right 1 unit: g(x) = x - 1

then reflect over the x-axis: g(x) = -x + 1

and then vertically stretch by a factor of 3: g(x) = -3*x + 1

Option f

Shift down 1 unit: g(x) = x - 1

then reflect over the x-axis: g(x) = -x + 1

and then vertically stretch by a factor of 3: g(x) = -3*x + 1

a

step-by-step explanation: