Answer: Can you Graph y=|x-3|-2
Explanation:
To graph the equation y = |x - 3| - 2, we can break it down into steps:
1. Start with the vertex of the graph, which is the point (3, -2). This is because the expression inside the absolute value, x - 3, equals zero at x = 3. Since the absolute value of zero is zero, y will be equal to -2 at x = 3.
2. Plot this point on the coordinate plane.
3. Determine the slope of the graph on either side of the vertex. Since the absolute value function creates a "V" shape, the slope is -1 on one side and +1 on the other side of the vertex.
4. Using the slope, draw two straight lines that intersect at the vertex point. These lines should have a slope of -1 on one side and +1 on the other side.
5. Continue the lines in both directions, maintaining the same slope, until the graph extends to the desired range.
Remember to label the axes and any key points on the graph to make it clear and informative.