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Using The graph below identify the axis of symmetry for the parabola below 

Using The graph below identify the axis of symmetry for the parabola below -example-1

2 Answers

8 votes

Answer:

x=-3

Explanation:

The axis of symmetry is the line that separates a parabola directly in half. It is measure on x axis because it is being split in terms of that number. Next, you identify the origin and find exactly where the parabola is in half and that is your answer. Another way to do this would be to identify the vertex of the parabola. The answer is the x coordinate of the location of the vertex. (The highest point of a parabola.)

User Belzebub
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7 votes

The axis of symmetry for the downward-opening parabola with vertex (-3, 3) is x = -3, as it passes through the vertex, creating symmetry in the parabola.

The axis of symmetry for a parabola is a vertical line passing through its vertex, dividing the parabola into two symmetric halves. In the given graph, there's a downward-opening parabola with its peak at (-3, 3). The axis of symmetry will pass through the vertex.

Since the vertex is at (-3, 3), the axis of symmetry is a vertical line passing through x = -3. Therefore, the correct answer is:

Axis of Symmetry: x = -3.

This line divides the parabola into two symmetrical sections, and any point on one side of the parabola is mirrored on the other side with respect to this axis.

In summary, for the given parabola, the axis of symmetry is x = -3.

User Mike Mazur
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5.5k points
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