# Graphing Calculator

Graphing calculator finds the graph for a given function. Graphing is a branch of mathematics that deals with the plotting of graphs based on the given function. It is used to analyze the situation in a better way and compare it with otherdifferent results.

## What is Graphing Calculator?

Graphing Calculator is an online tool that helps to plot the graph for a given function. By using graphs it becomes very easy to accurately analyze the trends followed by a certain data set. Almost every field sees extensive use of graphs. To use this * graphing calculator*, enter values in the input boxes.

### Graphing Calculator

## How to Use Graphing Calculator?

Follow these simple steps to plot the graph of a function using the online graphing calculator:

**Step 1:**Go to Cuemath's online graphing calculator.**Step 2:**Enter the values in the input boxes of the graphing calculator.**Step 3:**Click on the "Compute" button to find the graph.**Step 4:**Click on the "Reset" button to clear the fields and enter new values.

## How Does Graphing Calculator Work?

The general equation of a function is denoted by y = f(x). The graph of this function is given by the set of all points in a plane that satisfy the form (x, y) or (x, f(x)). Here, x is the input and is known as the independent variable while y is the output and is termed as the dependent variable. The shape of the graph varies depending upon the degree of the function. For example, say we have an equation of the form y = ax + b. Here, ax + b will be the function. It is also called a linear polynomial function. The highest power of the variable (x in this case) is 1. This implies that the degree of the function will also be 1. Thus, the graph of such a function will be a straight line. Similarly, suppose we have a quadratic polynomial as our function given by the general form y = ax^{2} + bx + c. Then the shape of the graph will be a parabola.

## Solved Examples on Graphing Calculator

**Example 1:**

Compute the graph for y = x^{2} and verify it using the graphing calculator.

**Solution:**

We will substitute x with a few values and determine the value of y so as to draw our graph.

For x = -2, y = 4

For x = -1, y = 1

For x = 0, y = 0

For x = 2, y = 4

For x = 1, y = 1

Plot these points on the graph to get a parabola.

**Example 2:**

Compute the graph for y = 2x + 1 and verify it using the graphing calculator.

**Solution:**

We will substitute x with a few values and determine the value of y so as to draw our graph.

For x = -2, y = -3

For x = -1, y = -1

For x = 0, y = 1

For x = 1, y = 3

For x = 2, y = 5

For x = 3, y = 7

Plot these points on the graph to get a straight line.

Similarly, you can try the graphing calculator to find the graphs for the following functions:

- y = 2x
^{2}+ 5 - y = 5x - 4
- y = x
^{3}+ x - 1

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