Graph t action. 12 S(x) = -1/-x² Plot five points on the graph of the function: one point with x = 0, two points with negative x-values, and t graph-a-function button.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
**Graphing a Function of the Form f(x) = ax²**

**Function:**

\[ f(x) = \frac{1}{2}x^2 \]

**Instructions:**

Plot five points on the graph of the function. Include one point with \( x = 0 \), two points with negative x-values, and two points with positive x-values using the graph-a-function feature.

**Graph Details:**

The image shows a coordinate plane with the x-axis and y-axis both ranging from -12 to 12. The graph has a grid for precision in plotting.

**Tools Available:**

- **Eraser:** Allows you to remove plotted points or drawings.
- **Pencil/Line Tool:** Helps in drawing curves or lines.
- **Reset/Undo Options:** For clearing the graph or undoing the last action.

**Actions:**

- Use "Explanation" to get more detailed instructions on plotting.
- Click "Check" to see if your plotted points are correct.

This graphing task helps in understanding quadratic functions and their properties, especially how they behave when multiplied by a fractional coefficient like \(\frac{1}{2}\).
Transcribed Image Text:**Graphing a Function of the Form f(x) = ax²** **Function:** \[ f(x) = \frac{1}{2}x^2 \] **Instructions:** Plot five points on the graph of the function. Include one point with \( x = 0 \), two points with negative x-values, and two points with positive x-values using the graph-a-function feature. **Graph Details:** The image shows a coordinate plane with the x-axis and y-axis both ranging from -12 to 12. The graph has a grid for precision in plotting. **Tools Available:** - **Eraser:** Allows you to remove plotted points or drawings. - **Pencil/Line Tool:** Helps in drawing curves or lines. - **Reset/Undo Options:** For clearing the graph or undoing the last action. **Actions:** - Use "Explanation" to get more detailed instructions on plotting. - Click "Check" to see if your plotted points are correct. This graphing task helps in understanding quadratic functions and their properties, especially how they behave when multiplied by a fractional coefficient like \(\frac{1}{2}\).
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