About This Chapter
Ohio EOCE Geometry: Geometric Properties with Equations - Chapter Summary
If you wish to do well on the Ohio End of Course Exam (EOCE) on Geometry, make sure that your knowledge of the field includes a solid understanding of geometric properties with equations. If you want to study up on this subject, go through the lessons included within this chapter for helpful overviews of relevant topics. The topics you will encounter in the lessons include:
- How to graph parabolas
- The standard form of parabola equations
- Standard, intercept and vortex parabolas
- Identifying a conic section by its formulas
- Line segments and rays
You can test your understanding of these topics by answering the practice quiz questions in the chapter. A comprehensive chapter exam lets you determine areas in which your knowledge may be lacking, and video tags make it easy to return to the lessons for review. If you need additional help, use our ask-an-expert feature to pose questions to the instructors. Once you have completed this chapter, you'll have a much better chance of doing well on the Ohio Geometry EOCE itself.
1. 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.
2. Using Quadratic Models to Find Minimum & Maximum Values: Definition, Steps & Example
Minimum and maximum values are found in parabolas that open up or down. In this lesson, learn how to find the minimum and maximum values algebraically and graphically.
3. The Parabola: Definition & Graphing
Watch this video lesson to learn what a parabola is and how you can graph it. Find out how to extract useful information from the standard form equation of a parabola to help you graph it.
4. Perfect Parabola: Definition & Explanation
Perfect parabolas are created from formulas and can also be hand-drawn. Learn how you can draw your own and what the mathematical formulas look like. Also learn what makes a parabola perfect.
5. How to Write the Equation of a Parabola in Standard Form
After watching this video lesson, you will be able to write the equation of a parabola in standard form when given just two important points from the parabola. Learn what these two points are and how they relate to the parabola.
6. 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.
7. Find the Axis Of Symmetry: Equation, Formula & Vertex
This lesson discusses how to locate the axis of symmetry of a parabola in the standard x-y coordinate plane. Learn how the vertex of the parabola relates to its axis of symmetry and how to determine the axis of symmetry from a quadratic equation.
8. The Hyperbola: Definition, Vertices, Foci & Graphing
In this video lesson, we'll learn what a hyperbola is and how to graph one using the standard equation to find the center point, vertices and focus points.
9. How to Write the Equation of a Hyperbola in Standard Form
When it comes to equations in algebra, there is most always a standard form that provides us with useful information. Watch this video lesson to learn how to write the standard form equation of a hyperbola by using information about the hyperbola.
10. How to Identify a Conic Section by Its Formulas
In algebra, we have a formula for everything. Take a cone and slice it and we have a formula for the shape that results. Watch this video lesson to learn how to distinguish between these formulas.
11. 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.
12. Line Segments & Rays: Definition & Measurement
Watch this video lesson to learn the difference between a line segment and a ray. You will also learn how to measure and add line segments. Learn why you can't measure or add a ray.
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Other chapters within the Ohio End of Course Exam - Geometry: Test Prep & Practice course
- Ohio EOCE - Geometry: Foundations
- Ohio EOCE - Geometry: Lines & Angles
- Ohio EOCE - Geometry: Rotations
- Ohio EOCE - Geometry: Congruence
- Ohio EOCE - Geometry: Logic in Mathematics
- Ohio EOCE - Geometry: Properties of Triangles
- Ohio EOCE - Geometry: Theorems & Proofs
- Ohio EOCE - Geometry: Parallel Lines & Polygons
- Ohio EOCE - Geometry: Similar Shapes
- Ohio EOCE - Geometry: Introduction to Trigonometry
- Ohio EOCE - Geometry: Circular Arcs & Circles
- Ohio EOCE - Geometry: Quadrilaterals
- Ohio EOCE - Geometry: Geometric Solids
- Ohio EOCE - Geometry: Analytical Geometry
- Ohio EOCE - Geometry: 3D Shapes
- Ohio EOCE - Geometry: Modeling
- Ohio End of Course Exam - Geometry Flashcards