## Sketching a Graph of a Function### f(x) = 2x²You 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 $.

Answered: Image /qna-images/answer/c32b3156-9eac-4c2f-8004-ef82fd2af98e.jpg

Answered: Sketch a graph of f. Ay 20 f(x) = 2x…

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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Concept explainers

Transformation of Graphs

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.

Exponential Functions

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

## 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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