# Ch 16: Advanced Coordinate Geometry: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering SAT mathematics level 2 material will benefit from taking this course. There is no faster or easier way to prepare for this SAT math subject test. Among those who would benefit are:

- Students who have fallen behind in understanding how to graph polynomial equations
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about coordinate geometry for the SAT
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Advanced Coordinate Geometry chapter exam.

## Why it works:

**Study Efficiently**: Skip what you know, review what you don't.**Retain What You Learn**: Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day**: Use the Advanced Coordinate Geometry chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any coordinate geometry question. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in an advanced coordinate geometry unit of a standard math course. Topics covered include:

- Parabolas in standard, intercept and vertex forms
- Graphs of cubics, quartics and quintics
- Graphs of circles
- Graphs of ellipses
- Graphs of hyperbolas
- The line of symmetry
- Polar coordinates

### 1. What is a Parabola?

A parabola is a U shape that is created when a quadratic equation is graphed. Explore the characteristics of parabolas, how they are used in everyday life, and the defining spots of a parabola.

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

The equation of a parabola can be expressed in three different forms. Explore different kinds of parabolas, and learn about the standard form, the intercept form, and the vertex form of parabola equations.

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

Following the proper steps, the basic principles of graphing can be applied to cubics, quartics, quintics, and other polynomial functions. Learn more about basic graphing principles for polynomial functions, the importance of local maximums and minimums, and sketching for class on a graph through a detailed practice test question.

### 4. Graphing Circles: Identifying the Formula, Center and Radius

Graphing a circle requires knowing the center, radius, and circle formula. Changing the exponents in the formula changes the size and location on the graph. Learn how to to correctly graph a circle by identifying the formula, center, and radius.

### 5. Identifying the Line of Symmetry: Definition & Examples

The line of symmetry, or the invisible line in the center of a shape or line, can be identified algebraically or graphically. Discover more about the line of symmetry, including how to find it using a graph, using a formula, and some examples of them.

### 6. Recognizing Symmetry Graphically, Algebraically & Numerically About the Origin

Symmetry is found all throughout nature, with many real-world examples including common fruits. Symmetry can also be established on a mathematical graph. In this lesson, explore symmetry on a graph and learn how to find the origin point graphically, algebraically, and numerically.

### 7. Recognizing Symmetry Graphically, Algebraically, and Numerically About the X-axis and Y-axis

Symmetry can be seen in many different areas of life like, for example, the perfect reflection of an image in a mirror, and is also recognized mathematically. Learn about the x-axis and y-axis and discover how to recognize symmetry graphically, algebraically, and numerically.

### Earning College Credit

Did you know… We have over 220 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

### Other Chapters

Other chapters within the SAT Mathematics Level 2: Help and Review course

- Basic Math Review: Help and Review
- Square Roots: Help and Review
- Basic Algebraic Expressions in Math: Help and Review
- Exponents in Math: Help and Review
- Linear Equations & Inequalities in Algebra: Help and Review
- Absolute Value Equations & Inequalities: Help and Review
- Polynomials in Algebra: Help and Review
- Functions in Math: Help and Review
- Rational Expressions in Algebra: Help and Review
- Matrices: Help and Review
- Sequences and Series in Math: Help and Review
- Exponentials and Logarithms in Math: Help and Review
- Complex Numbers in Math: Help and Review
- Coordinate Geometry Basics: Help and Review
- Graphing Linear Equations & Inequalities: Help and Review
- Three-Dimensional Geometry: Help and Review
- Overview of Trigonometry: Help and Review
- Probability, Combinations & Permutations: Help and Review
- Working with Data & Statistics: Help and Review
- Logic: Help and Review
- Limits in Math: Help and Review