Question

what is the equation for the axis of symmetry for the function shown on the graph? a ( x = 1 ) b ( y = 1 ) c ( x = -1 ) d ( y = -1 )

Explanation:

Step1: Recall axis of symmetry for parabola

The axis of symmetry of a parabola (quadratic function) is a vertical line that passes through the vertex. The equation of a vertical line is of the form \(x = h\), where \(h\) is the x - coordinate of the vertex.

Step2: Identify the vertex from the graph

Looking at the graph of the parabola, the vertex (the highest point of the parabola, since it opens downward) has an x - coordinate of 1. So the equation of the axis of symmetry, which is the vertical line passing through the vertex, is \(x = 1\).

Answer:

A. \(x = 1\)