Question

what is the equation for axis of symmetry? x = 5 x = 1 y = 3 x = 3

Explanation:

Step1: Recall axis - symmetry concept

For a parabola opening vertically (in the form $y = ax^{2}+bx + c$), the axis of symmetry is a vertical line given by the formula $x=-\frac{b}{2a}$. In general, for a graph symmetric about a vertical line, the equation of the axis of symmetry is of the form $x = k$, where $k$ is a constant. For a graph symmetric about a horizontal line, the equation is of the form $y=k$. Looking at the graph (assuming it's a parabola opening vertically), the axis - symmetry is a vertical line passing through the vertex of the parabola.

Step2: Identify the vertical line

By observing the position of the vertex of the parabola on the graph, we can see that the vertical line that divides the parabola into two symmetric halves is $x = 3$.

Answer:

$x = 3$