https://file.aiquickdraw.com/mathbot/file/1727356890324ue9cmv8i.jpg

The graph in the image shows a parabola opening upwards. To find the equation of the axis of symmetry, we need to determine the x-coordinate of the vertex of the parabola. The axis of symmetry is always a vertical line that passes through the vertex.

From the graph, it appears that the vertex is located at \( x = -4 \). Therefore, the equation of the axis of symmetry is:

\[
x = -4
\]

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### Related Questions:
1. What is the vertex form of a parabola and how is it useful in finding the axis of symmetry?
2. How can you determine the vertex of a parabola from a quadratic equation?
3. What are the steps to graph a parabola if you're only given its equation?
4. How does the direction of the parabola (opening up or down) affect its vertex?
5. What is the significance of the axis of symmetry in relation to the properties of a parabola?

### Tip:
The axis of symmetry is always given by \( x = h \), where \( h \) is the x-coordinate of the vertex in the vertex form of a quadratic equation: \( y = a(x - h)^2 + k \).

Using the graph, determine the equation of the axis of symmetry.

Determine the equation of the axis of symmetry for a parabola from its graph. Learn how to identify the vertex and use the standard form of a quadratic equation to find the axis of symmetry. Suitable for students in Grades 9-10.

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