Sketch a graph of f. Ay 20 f(x) = 2x 16- Use the graphing tool to graph the function. 12- Click to enlarge graph 8- 4- -20 16 -12 -8 -4 12 16 20 4-
Sketch a graph of f. Ay 20 f(x) = 2x 16- Use the graphing tool to graph the function. 12- Click to enlarge graph 8- 4- -20 16 -12 -8 -4 12 16 20 4-
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
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The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
Question
Transcribed Image Text:## Sketching a Graph of a Function
### f(x) = 2x²
You are provided with a quadratic function: \( f(x) = 2x^2 \).
**Task:**
Use the graphing tool provided to sketch the function.
1. **Click the provided tool** to enlarge the graph.
The graph displayed will help in understanding the behavior of the quadratic function.
### Explanation of the Graph:
- The graph consists of a coordinate plane with an x-axis and a y-axis.
- The x-axis ranges from -20 to 20.
- The y-axis also ranges from -20 to 20.
- The plot of \( f(x) = 2x^2 \) will be a parabola, which opens upwards due to the positive coefficient of \(x^2 \).
**Steps to Graph the Function:**
1. **Identify key points**: For \( x = 0 \), \( f(x) = 0 \). For \(x = 1\), \( f(x) = 2 \), and for \( x = -1 \), \( f(x) = 2 \).
2. **Plot these points on the graph**:
- When \(x = 0\), \(y = 0\).
- When \(x = 1\), \(y = 2\).
- When \(x = -1\), \( y = 2\).
3. **Draw the parabola** that goes through these points, making sure the arms extend upwards as x increases or decreases.
Make use of the enlarged graph tool to ensure accuracy in plotting the parabola of the function \( f(x) = 2x^2 \).
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