Question

For a given function, if it undergoes a vertical stretch and a reflection in the x-axis, which of the following options describes the sequence of transformations?

A) Multiply by a constant greater than 1; change the sign of the function
B) Multiply by a constant greater than 1; keep the sign of the function unchanged
C) Multiply by a constant between 0 and 1; change the sign of the function
D) Multiply by a constant between 0 and 1; keep the sign of the function unchanged

Answer 1

The correct sequence of transformations for a function undergoing a vertical stretch and a reflection in the x-axis is to multiply the function by a constant between 0 and 1 and keep the sign of the function unchanged.

Step-by-step explanation:

The correct answer is D) Multiply by a constant between 0 and 1; keep the sign of the function unchanged. When a function undergoes a vertical stretch, it is multiplied by a constant greater than 1. When it undergoes a reflection in the x-axis, the sign of the function remains unchanged. Therefore, the correct sequence of transformations is to multiply the function by a constant between 0 and 1 and keep the sign of the function unchanged.