Chapter 9.1, Problem 39PPE

To determine

The graph of the function of each equation.

The vertex and the axis of symmetry.

Answer to Problem 39PPE

The vertex of the graph will be $\left(-1.2,3\right)$ and the axis of symmetry is y-axis.

Explanation of Solution

Given:

The given function is:

  $y=\frac{1}{4}{x}^2+3$

Calculation:

Turn on the calculator, and enter the function.

Press and enter the function in $Y_1$ .

Enter the function in $Y_1=\frac{1}{4}{x}^2+3$

The key strokes of $Y_1$

are as follows:

  

The display of the calculator will be:

  

To draw the graph of the function, set the co-ordinate axes by click on the button WINDOW.

The display of the calculator will be:

  

Press the button GRAPH.

  

Press on the buttons 2 and TRACE, select option 3 to find the vertex of the parabola.

  

Press the button ENTER and guess the left and right boundaries.

  

The vertex of the graph will be $\left(-1.2,3\right)$ and the axis of symmetry is y-axis.