Question

What was done to the linear parent function, fx) = x, to get the function

g(x) = -2
A. Vertically compressed by a factor of 6
B. Horizontally compressed by a factor of 6
C. Vertically stretched by a factor of 6
D. Shifted one unit up

Answer 1

The transformation from f(x) = x to g(x) = -2x (assuming there's a typo in the question) involves a vertical stretch by a factor of 2, followed by a reflection in the x-axis.

Step-by-step explanation:

The question asks about transformations applied to the linear parent function f(x) = x to obtain the function g(x) = -2. The transformation that turns f(x) into g(x) is a vertical stretch by a factor of 2, combined with a reflection in the x-axis, represented by the negative sign. None of the provided options describe these transformations accurately; therefore, if these are the only options given, there seems to be a mistake in the question or in the answer choices. It might be a question typo, and instead of g(x) = -2, it was meant to say g(x) = -2x, in which case the correct answer would be a vertical stretch by a factor of 2, and then a reflection in the x-axis.