Questions: The graph of y=g(x) is shown. Draw the graph of y=g(-x).

The graph of y=g(x) is shown. Draw the graph of y=g(-x).
Transcript text: (b) The graph of $y=g(x)$ is shown. Draw the graph of $y=g(-x)$.
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Solution

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Solution Steps

Step 1: Identify two points on the graph of y=g(x)

Two points that are easily identifiable on the given line are (0,-3) and (4,-2).

Step 2: Find the corresponding points on the graph of y=g(-x)

To find the corresponding points on the graph of y=g(-x), we replace x with -x. So, the point (x,y) on y=g(x) becomes (-x,y) on y=g(-x).

(0,-3) becomes (-0,-3) which simplifies to (0,-3). (4,-2) becomes (-4,-2).

Step 3: Plot the points and draw the line

Plot the points (0,-3) and (-4,-2) on the graph. Draw a line through these two points. This line represents y=g(-x).

Final Answer

The graph of y=g(-x) is a line passing through the points (0, -3) and (-4, -2). It is a reflection of the original line across the y-axis.

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