The graph of the quadratic function $y = - (x - 2)^2 + 6$ is shown above. It clearly displays the parabola opening downwards, with the vertex at $(2, 6)$ and the axis of symmetry as a dashed vertical line at $x = 2$.

Summary

• Standard Form: $y = - (x - 2)^2 + 6$
• Vertex: $(2, 6)$
• Axis of symmetry: $x = 2$

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Related Questions

1. How can you determine whether a parabola opens upward or downward?
2. What is the significance of the vertex in a quadratic function's graph?
3. How do you convert from the vertex form back to the standard form of a quadratic equation?
4. How does changing the coefficient of $x^2$ affect the shape of the parabola?
5. What are the steps to find the x-intercepts and y-intercepts of a quadratic function?

Tip

Completing the square is a powerful technique to transform any quadratic equation into its vertex form, making it easier to identify key features like the vertex and axis of symmetry.