Question

the graph of the quadratic function y = f(x) is shown. what is the vertex of the graph? a) (0, - 2) b) (0, - 3) c) (0, 2) d) (0, 3)

Explanation:

Step1: Recall vertex definition

The vertex of a parabola (graph of a quadratic - function) is the point where the parabola changes direction. It is either the minimum (for a parabola opening upwards) or the maximum (for a parabola opening downwards).

Step2: Identify from the graph

Looking at the graph of the quadratic function \(y = f(x)\), we can see that the parabola opens upwards and the lowest point (vertex) has an \(x\) - coordinate of \(0\) and a \(y\) - coordinate of \(2\).

Answer:

C. \((0,2)\)