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1. If the vertex of a parabola is \( (0,3) \) what is the axis of symmetry?

Ask by Nichols Powers. in the United States
Jan 13,2025

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The axis of symmetry is the vertical line \( x = 0 \).

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The axis of symmetry for a parabola can be found using the vertex form of a parabola, which indicates that the axis of symmetry will always be a vertical line through the vertex. Since your vertex is at \( (0, 3) \), the equation of the axis of symmetry is simply \( x = 0 \). This means that the parabola is symmetric about the y-axis, making it easy to reflect points on either side of it! If you are sketching this parabola, remember that the axis of symmetry will help you determine how the parabola opens and its shape around that line. So even if you take any point on one side of the parabola, you can find its mirror image across \( x = 0 \) to create a perfect, symmetric graph. Happy drawing!

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