Question 5 The Axis of Symmetry is the equation of the Vertical Line the the vertex of the Parabola. 0.5 pts True Oalse
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True! The Axis of Symmetry for a parabola is indeed a vertical line that passes through the vertex. This means if you were to fold the parabola along this line, both halves would match perfectly. It can be calculated using the formula \(x = -\frac{b}{2a}\) for a parabola described by the equation \(y = ax^2 + bx + c\). In practical applications, understanding the Axis of Symmetry can help in fields such as architecture and engineering, where parabolic arcs are used for bridges and structures. Knowing where the symmetry lies ensures load distribution and aesthetic design are harmonious, contributing to the structural integrity and visual appeal!
