Use the graph to find the axis of symmetry

It's (-3, -4) and (-2, -3)

1 answer

To find the axis of symmetry of a graph, you need to determine the line that divides the graph into two symmetrical parts.

In this case, with the two given points (-3, -4) and (-2, -3), you can see that these points are equidistant from the x-axis. This means that the axis of symmetry is the vertical line passing through the midpoint of these two points.

To find the midpoint, you can use the formula:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]

Plugging in the values, you get:
Midpoint = [(-3 + (-2)) / 2, (-4 +(-3)) / 2] = [(-5) / 2, (-7) / 2] = [-2.5, -3.5]

Therefore, the axis of symmetry is x = -2.5. This vertical line will divide the graph into two symmetrical parts.
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