Question

F(x)=−3/2 {x+1}

Transformation 1:

Transformation 2:

Transformation 3:​

Answer 1

The given function f(x) = -3/2(x+1) undergoes two transformations: a horizontal shift of 1 unit to the left and a reflection about the x-axis with a vertical stretch by a factor of 3/2.

Step-by-step explanation:

The given function is f(x) = -3/2(x+1).

To determine the transformations applied to this function, we need to identify the changes made to the original function.

1. The first transformation involves adding 1 inside the parentheses, which shifts the graph 1 unit to the left.
2. The second transformation is multiplying the entire function by -3/2, which reflects the graph about the x-axis and stretches it vertically by a factor of 3/2.

Therefore, the transformations applied to the original function are a horizontal shift of 1 unit to the left and a reflection about the x-axis with a vertical stretch by a factor of 3/2.