Question

2. Which sequence of transformations takes the graph of y = k(x) to the graph of

Answer 1

Answer:

A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1

Step-by-step explanation:

Initially:

We have the function $y = k(x)$

k(x + 1)

To translate a function k(x) a units to the left, we find k(x + a).

Thus, k(x+1) is the translation of k(x) 1 unit to the left.

-k(x+1)

Multiplying a function by a negative constant is the same as reflecting it over the x-axis, and then scaling it vertically by a factor of the constant.

Thus:

The answer is given by option A:

A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1