Which of the following correctly identifies the transformation of j(x)=(15)x−12

Question

from its parent function?

Answer 1

To identify the transformation of the function \( j(x) = 15x - 12 \) from its parent function, we first need to determine what the parent function is. In this case, the parent function can be considered as \( f(x) = x \).

Now, let’s analyze the transformations included in \( j(x) \):

1. Vertical Stretch/Compression: The coefficient of \( x \) is 15, which means that the function is vertically stretched by a factor of 15.

2. Vertical Shift: The constant term is -12, which indicates that the graph of the function is shifted downward by 12 units.

Putting these transformations together, we can describe them as follows:

• The function is vertically stretched by a factor of 15.
• The function is shifted downward by 12 units.

Thus, \( j(x) = 15x - 12 \) results from stretching the parent function \( f(x) = x \) by 15 and then translating it downward by 12 units.