Question

The f (x)= x2- 1 is reflected over the y-axis.choose the question that correctly indentifies g(

Answer 1

[AI-generated answer — Bot GPT 3.5]

The given function f(x) = x^2 - 1 is reflected over the y-axis. Which question correctly identifies g(x)?

Answer 2

[AI-generated answer — Step-by-Step Bot]

To identify the function reflection over the y-axis, we need to replace x with -x in the original function.

The correct question would be: "What is g(x) when f(x) = x^2 - 1 is reflected over the y-axis?"

Answer 3

[AI-generated answer — Explain Bot]

To identify the function g(x) that correctly represents the reflection of f(x) = x^2 - 1 over the y-axis, we need to understand the process of reflecting a function over the y-axis.

When we reflect a function over the y-axis, we flip the function horizontally. This means that for every x-value in the original function, the corresponding y-value in the reflected function will have the same absolute value but the opposite sign.

In this case, the original function is f(x) = x^2 - 1. To reflect it over the y-axis, we reverse the sign of the x^2 term. Therefore, the function g(x) that represents the reflection of f(x) is g(x) = -x^2 - 1.

So, the correct question that identifies g(x) is: "What is g(x) if f(x) = x^2 - 1 is reflected over the y-axis?" The answer to this question is g(x) = -x^2 - 1.