Education Technology

# Knowledge Base

## Solution 34845: Finding the Minimum or Maximum (Vertex) of a Function Using the TI-84 Plus C Silver Edition.

### How do I find the minimum or maximum of a function using the TI-84 Plus C Silver Edition?

To find the minimum or maximum of a function using the TI-84 Plus C Silver Edition, follow the example below.

Example: Find the maximum of the function (-3x2 - 6x + 2)

1) Press [Y=] to access the Y= editor. For Y1, input (-3x2-6x+2).

2) Press [GRAPH] to graph the parabola.
3) Press [2nd] [TRACE] [4] to select the "maximum" command from the CALC menu.
4) The handheld will prompt for a "Left Bound." Using the arrow keys, move the cursor to the left side of the function (past the maximum point) and press [ENTER].

5) The handheld will prompt for a "Right Bound." Using the arrow keys, move the cursor to the right side of the function (past the maximum point) and press [ENTER].

6) The handheld will prompt for a "Guess." Using the arrow keys, move the cursor as close as possible to the actual maximum point and press [ENTER].

The handheld will display the maximum point as a coordinate pair (-1,5).

Please see the TI-84 Plus C Silver Edition guidebook for additional information.