Question

take quiz exit type your answer as an equation, with no spaces!! ex: x=5

Explanation:

Step1: Recall the formula for the axis of symmetry of a parabola

For a parabola \(y = ax^{2}+bx + c\), the axis of symmetry is \(x=-\frac{b}{2a}\). Another way is to find the mid - point of the roots. If the roots of the quadratic function (where \(y = 0\)) are \(x_1\) and \(x_2\), then the axis of symmetry is \(x=\frac{x_1 + x_2}{2}\).
From the graph, assume the roots (where the parabola crosses the \(x\) - axis) are \(x=-1\) and \(x = 5\).

Step2: Calculate the axis of symmetry

Using the mid - point formula \(x=\frac{-1 + 5}{2}\).

$$x=\frac{4}{2}=2$$

Answer:

\(x = 2\)