# Ch 33: How to Graph a Function

### About This Chapter

## How to Graph a Function - Chapter Summary

Taught by experts in their field, the lessons in this chapter clarify and reinforce what 3rd through 5th graders are learning in school about graphing functions. These lessons cover the basic concepts of graphing functions from plotting points to linear equations to quadratic functions. Our instructors make learning easy by breaking down complicated subject matter into smaller, simpler to understand components. If your student has a question about how to graph a function, submit it to our instructors. They are here to help.

## Chapter Lessons and Objectives

Lesson | Objective |
---|---|

Graph Functions By Plotting Points | Students learn to plot points on a graph of a function. |

Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative | Instructors demonstrate how to relate a graph's features to a function's features. |

Linear Equations: Intercepts, Standard Form and Graphing | Instructors explain intercepts, standard form and graphing of linear equations. |

How to Find and Apply the Slope of a Line | Students learn to find and use the slope of a line. |

How to Find and Apply the Intercepts of a Line | Instructors show how to find and apply the intercepts of a line. |

Graphing Undefined Slope, Zero Slope and More | Instructors teach students to graph zero slope, undefined slope, and more. |

Equation of a Line Using Point-Slope Formula | Students learn how to find the equation of a line using the point-slope formula. |

How to Use the Distance Formula | Instructors show how to use the distance formula to solve the length of a line segment. |

How to Use the Midpoint Formula | Students learn how to use the midpoint formula to determine the midpoint of a line segment in the coordinate plane. |

What is a Parabola? | Instructors define parabolas and teach graphing quadratic functions in one variable. |

Parabolas in Standard, Intercept, and Vertex Form | Students learn the equation of parabolas expressed in standard, intercept and vertex forms. |

### 1. Graph Functions by Plotting Points

Let's say you have a function. What does it look like? How do you graph it? In this lesson, we'll learn how to graph functions by determining and plotting points.

### 2. Identify Where a Function is Linear, Increasing or Decreasing, Positive or Negative

Functions do all kinds of fun things. In this lesson, learn how to identify traits of functions such as linear or nonlinear, increasing or decreasing and positive or negative.

### 3. Linear Equations: Intercepts, Standard Form and Graphing

Do you know what to do if an equation doesn't look like y=mx+b?! If not, then this video is for you. Chances are the equation is in standard form, so we'll learn how to use standard form equations, how to graph them and why they can be helpful.

### 4. How to Find and Apply The Slope of a Line

In this lesson, we'll discover all about the slopes of lines. We'll learn about different types of slopes and how to find the slopes of lines. We'll use two methods: the slope formula and the slope-intercept form.

### 5. How to Find and Apply the Intercepts of a Line

How can you take an equation of a line and find out where it will cross the x- or y-axis? In this lesson, we'll define x-intercepts and y-intercepts and learn how to find them.

### 6. Graphing Undefined Slope, Zero Slope and More

There are two special cases when it comes to slopes on the xy plane: horizontal and vertical lines. Without any more information, these examples can be pretty confusing. But with a little instruction, they end up being some of the easiest lines to graph!

### 7. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

### 8. How to Use The Distance Formula

You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!

### 9. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

### 10. What is a Parabola?

A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.

### 11. Parabolas in Standard, Intercept, and Vertex Form

By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.

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### Other Chapters

Other chapters within the 3rd-5th Grade Math: Practice & Review course

- Number Sense & Arithmetic
- Number Properties
- Estimation & Rounding
- Steps for Solving Math Word Problems
- Addition
- Subtraction
- Multiplication
- Multiples of Whole Numbers
- Multiplication Skills Practice
- Division
- Division Skills Practice
- Simplifying Whole Number Expressions
- Understanding Algebraic Expressions
- Data & Graphs
- Probability & Statistics
- Units of Measurement
- Working with Geometric Figures
- Angles
- Identifying Triangles
- Quadrilaterals
- Circle Types & Parts
- How to Measure Perimeter, Area & Volume
- Symmetry, Similarity & Congruence
- Polyhedrons & Geometric Solids
- Identifying & Working with Fractions
- Operations with Fractions
- Adding, Subtracting, Multiplying & Dividing Decimals
- Operations with Decimals
- Mixed Operations
- Money
- Time
- The Coordinate Graph
- Number Theory & Prime Factorization
- Integers
- Percents
- Rates, Ratios & Proportions