Ch 30: HSPT Test: Graphing Functions

About This Chapter

These lessons will help you improve your abilities finding the slope and intercept of a line, plotting points on a coordinate plane, finding the distance and midpoint between two points and graphing parabolas. You can incorporate this chapter into your study sessions for the HSPT test.

HSPT Test: Graphing Functions - Chapter Summary

This chapter was composed to help you review the procedures used to graph functions and find the properties of lines and parabolas. Each lesson is taught by one of our expert instructors who can help you understand these processes. Use these lessons to prepare for questions on the HSPT test regarding:

  • Plotting points to graph functions
  • Determining when functions are linear, increasing, decreasing, positive or negative
  • Finding and applying the slope and intercepts of a line
  • The point-slope formula
  • Using the distance and midpoint formulas
  • Standard, intercept and vertex forms of parabolas
  • Graphing cubics, quartics, quintics, etc.

To further improve your comprehension of these lessons, try reading over the lesson transcripts, which are written overviews of the lessons that will help you identify the key vocabulary of the chapter. Test your retention the information presented in these lessons by taking the lesson quizzes. After these short assessments, review your results to discover the topics you don't know and then use the video tags to return to and study the parts of the lessons that explained them.

HSPT Test: Graphing Functions Chapter Objectives

Eighth-grade students who plan on attending a select Catholic high schools may need to take the HSPT. High schools use this exam to aid them in their admission, scholarship, and curriculum placement decisions. On test day, you will be asked to complete a series of 298 multiple-choice questions in a 2.5-hour testing session. Sixty-four of these questions will test your knowledge and skills of mathematics and some of these questions may cover about graphing functions.

10 Lessons in Chapter 30: HSPT Test: Graphing Functions
Test your knowledge with a 30-question chapter practice test
Graph Functions by Plotting Points

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.

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

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.

How to Find and Apply The Slope of a Line

3. 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.

How to Find and Apply the Intercepts of a Line

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.

Equation of a Line Using Point-Slope Formula

5. 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.

How to Use The Distance Formula

6. 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!

How to Use The Midpoint Formula

7. 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.

What is a Parabola?

8. 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.

Parabolas in Standard, Intercept, and Vertex Form

9. 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.

How to Graph Cubics, Quartics, Quintics and Beyond

10. 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!

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the HSPT Test: Practice & Study Guide course

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