Chapter 9.1, Problem 3LC

To determine

The graph of the parabola and the value of the vertex.

Answer to Problem 3LC

Axis of symmetry is $x=0$ and $\left(0,2\right)$ is the vertex.

Explanation of Solution

Given:

The given function is:

  $y=\frac{1}{2}{x}^2+2$

Calculation:

The input output table will be:

  

The graph of the parabola can be drawn as:

  

Hence, axis of symmetry is $x=0$ and $\left(0,2\right)$ is the vertex.