Question

Use the image to answer the question.

Four concave curves are drawn on a coordinate plane with the x-axis from negative 6 to 6 and the y-axis from negative 4 to 4, both in increments of 2.

Given the graph of y=f(x)
, which of the following options is the graph of y=−f(x)
? Enter the option number of the correct answer.

Option #1: Graph B

Option #2: Graph C

Option #3: Graph D

(1 point)
Option #

Answer 1

To determine which of the given options corresponds to the graph of \( y = -f(x) \), we need to understand what this transformation does.

The equation \( y = -f(x) \) reflects the graph of \( y = f(x) \) across the x-axis. This means that for every point \( (x, f(x)) \) on the original graph, there will be a corresponding point \( (x, -f(x)) \) on the transformed graph.

Since I cannot see the image, you would need to visually inspect the options to find which graph reflects the original graph \( y = f(x) \) across the x-axis. Look for a graph where all positive \( y \)-values of \( f(x) \) become negative and vice versa.

Once you've made that observation, select the corresponding option number for the reflection.