Question

the graph shows a parabola. what is the equation of its axis of symmetry?

Explanation:

Step1: Identify the vertex's x - coordinate

The axis of symmetry of a parabola is a vertical line that passes through its vertex. Looking at the graph, the x - coordinate of the vertex of the parabola is $x=-1$.

Step2: Write the equation of the axis of symmetry

The equation of a vertical line is of the form $x = a$, where $a$ is a constant. For this parabola, the equation of the axis of symmetry is $x=-1$.

Answer:

$x = - 1$