# Ch 15: NY Regents - Graphing Functions: Tutoring Solution

### About This Chapter

## How it works:

- Begin preparation for the NY Regents integrated algebra exam.
- Identify the graphing functions concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

This chapter of our NY Regents Exam - Integrated Algebra tutoring solution will benefit any student who is trying to learn about graphing functions and earn passing scores on the exam. This resource can help students including those who:

- Struggle with understanding the slope of a line, parabolas, or any other graphing functions topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves struggling with preparation for the NY Regents integrated algebra exam
- Cope with ADD or ADHD
- Want to get ahead in preparing for the NY Regents integrated algebra exam
- Don't have access to NY Regents integrated algebra study materials

## Why it works:

**Engaging Tutors:**We make learning about graphing functions simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live algebra tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn graphing functions on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Identify the different parts of a graph.
- Learn how to graph functions by plotting points.
- Recognize whether a functions is linear or not, positive or negative and increasing or decreasing.
- Find and apply the slope and intercepts of a line.
- Graph zero slope, undefined slope and more.
- Use the point-slope formula to determine the equations of a line.
- Understand how to use the distance and midpoint formulas.
- Define parabolas.
- Take a look at the different forms of parabolas.
- Be able to graph cubics, quatrics, quintics and beyond.

### 1. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 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.

### 12. How to Graph Cubics, Quartics, Quintics and Beyond

Finding the graph of a polynomial isn't too hard. If you can graph, you already know the major steps! With a couple rules and helpful memorizing tools, you will be graphing polynomials in no time!

### 13. Line of Best Fit: Definition, Equation & Examples

Linear graphs are a terrific way to see a trend when comparing any two factors. A line of best fit is the trendline that best fits the data set. In this lesson, we will see how the line of best fit helps to predict future events.

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### Other Chapters

Other chapters within the NY Regents Exam - Integrated Algebra: Tutoring Solution course

- NY Regents - Number Theory & Basic Arithmetic: Tutoring Solution
- NY Regents - Problems with Decimals and Fractions: Tutoring Solution
- NY Regents - Problems with Percents: Tutoring Solution
- NY Regents - Problems with Exponents: Tutoring Solution
- NY Regents - Problems with Exponential Expressions: Tutoring Solution
- NY Regents - Problems with Radical Expressions & Equations: Tutoring Solution
- NY Regents - Problems with Algebraic Expressions and Equations: Tutoring Solution
- NY Regents - Distributing Terms in Algebra: Tutoring Solution
- NY Regents - Algebraic Linear Equations & Inequalities: Tutoring Solution
- NY Regents - Matrices and Absolute Value: Tutoring Solution
- NY Regents - Overview of Functions: Tutoring Solution
- NY Regents - Factoring with Variables: Tutoring Solution
- NY Regents - Quadratics & Polynomials: Tutoring Solution
- NY Regents - Rational Expressions: Tutoring Solution
- NY Regents - Calculations with Ratios, Percent & Proportions: Tutoring Solution
- NY Regents - Sets: Tutoring Solution
- NY Regents - Probability and Statistics: Tutoring Solution
- NY Regents - Probability Mechanics: Tutoring Solution
- NY Regents - Working with Data: Tutoring Solution
- NY Regents - Well-Known Equations: Tutoring Solution
- NY Regents - Intro to Trigonometry: Tutoring Solution
- NY Regents - Measurement for Algebra Students: Tutoring Solution
- NY Regents - Geometry for Algebra Students: Tutoring Solution