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. Need answers please!

Select ALL the correct answers Consider the graph of function g below Determine which sequences of transformations could be applied to the parent function fx x class=

Respuesta :

Answer:

Options:  1 and 5 are correct

Step-by-step explanation:

From the picture it can be seen that g(x) = -3x - 1

Parent function: f(x) = x

1)  Reflect over the y-axis gives g(x) = -x

Vertically stretch by a factor of 3 gives g(x) = -3x

Shift down 1 unit gives g(x) = -3x - 1

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

Reflect over x-axis: g(x) = -x-2

Vertically stretch by a factor of 3 gives g(x) = -3x -6

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

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

Vertically stretch by a factor of 3: g(x) = -3x -3

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

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

Vertically stretch by a factor of 3: g(x) = -3x +3

5) Reflect over the x-axis: g(x) = -x

Vertically stretch by a factor of 3: g(x) = -3x

Shift down 1 unit: g(x) = -3x - 1

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

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

Vertically stretch by a factor of 3: g(x) = -3x + 3

Answer:

shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3

Step-by-step explanations:

I got it right. Hope this helps.