Question

What are the vertex and axis of symmetry of the following graph?

Answer 1

If the parabola opens up, the vertex represents the lowest point on the graph or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph or the maximum value. In either case, the vertex is a turning point on the graph.

The coordinate of the vertex is given as

`(h,k)`

In this case, the values of the vertex will be

`(1,-4)`

Parabolas also have an axis of symmetry, which is parallel to the y-axis. The axis of symmetry is a vertical line drawn through the vertex.

The values are also known as the x- value of the vertex that is

`\begin{gathered} x=h \\ \sin ce\text{ h=1} \\ axis\text{ of symmetry will be } \\ x=1 \end{gathered}`

Hence,

Vertex =(1,-4)

axis of symmetry x=1