Question

look at this graph: what is the equation of the axis of symmetry? submit

Explanation:

Step1: Identify the type of parabola

The graph is a vertical - opening parabola. For a vertical parabola of the form $y = ax^{2}+bx + c$, the axis of symmetry is a vertical line.

Step2: Recall the formula for axis of symmetry

For a vertical parabola $y=ax^{2}+bx + c$, the equation of the axis of symmetry is $x=-\frac{b}{2a}$. In the case of a parabola symmetric about the y - axis (a standard form $y = ax^{2}+c$ where $b = 0$), the axis of symmetry is $x = 0$. From the graph, we can see that the parabola is symmetric about the y - axis.

Answer:

$x = 0$