These worksheets will teach your students how to identify and calculate different parts of parabolas.

#### What are Parabolas? In mathematics, a parabola is defined as the symmetrical open curve, which is formed by the intersection of a cone with a parallel plane to its side. To put it simply, a parabola is a curve where any given point lies at an equal distance from a fixed straight line and a fixed point. A parabola comes with several features that define its placement and shape on the cartesian plane. Vertex - Vertex is defined as the extreme point of the parabola. If the parabola opens down, the vertex will be the highest point on the graph. If the parabola opens down, then the vertex will be the lowest point on the graph. In both cases, the vertex is represented as the turning point of the parabola. Axis of Symmetry - The axis of symmetry lies parallel to the y-axis, and it's the line drawn vertically through the vertex. x-intercept - The point on the cartesian plane where the parabola crosses the x-axis is known as the x-intercept. The number of x-intercepts depends on the location of the graph on the plane. y-intercept - The point on the cartesian plane where the parabola crosses the y-axis is known as the y-intercept.

When you finally start to study physics a great deal of time is spent learning about trajectory. Trajectory is the path an object travels (on Earth) due to gravity. These trajectories often follow the shape of a parabola. What goes up must come down. A parabola is a curve where any point is an equal distance from a fixed point (focus) and a straight line (directrix). The exact point where the parabola hits a sharp turn is called the vertex. In this section you will interpret graphs of parabolas as well as identify the anatomy of parabolas. These worksheets explain how to graph parabolas and write the standard equations for parabolas. They will also calculate focus, vertex, and directrix, match parabolic equations with the correct graphs, write equations, and more.

# Print Parabola Worksheets

## Graphing Parabolas Lesson

This worksheet explains how to determine if the graph of a parabola will open up or down. A sample problem is solved, and two practice problems are there.

## Graphing Parabolas Worksheet

Students will determine at what point each parabola crosses the x axis. Ten problems are included.

## Practice Worksheet

Students will answer questions about parabolas and determine at what point each parabola crosses the x axis.

## Graphing Parabolas Review

Students review how to predict the trends in the graphs of a parabola and determine where it will cross the x-axis. A sample problem is solved.

## Practice the Skill

Students will answer questions about parabolas and determine where parabolas cross the x axis.

## Skills Quiz

Students will demonstrate their proficiency with parabolas. Ten problems are provided. Problem example: What will be the equation of the axis of symmetry for parabola with a turning point of (7, 4)?

## Do Now Parabolas

Take a look at this skill as a class. Example problem: For the graph y= 11x2 - 5x - 6 What is the equation of the axis of symmetry?

## Focus, Vertex and Directrix Lesson

This lesson shows students how to solve the problem: Find the vertex, focus and directrix of the parabola: y2 - 2y - 4x + 9 = 0.

## Practice Worksheet

Students will find the focus, vertex, and directrix of each parabola.

## More Practice

This worksheet works on the same skills, just provides you with more practice. A sample problem is solved, and two practice problems are provided.

## Review and Practice

Students work more on find those three measures of each parabola. Six practice problems are provided.

## Quiz

Students will demonstrate their proficiency in finding the focus, vertex, and directrix of parabolas.

## Class Check

See where your students are at with parabolas. Three problems are provided, and space is included for students to copy the correct answer when given.

## Focus and Directrix Lesson

This worksheet explains how to find the focus and directrix of parabolas. A sample problem is solved, and two practice problems are provided.

## 2 Measures Worksheet

This is more practice for your students.

## Bunch More Practice

This worksheet gives you more to practice with. A sample problem is solved, and two practice problems are provided.

## Focus and Directrix Review and Practice

Students find the focus and directrix of parabolas. Six practice problems are provided.

## Quiz

Students will demonstrate their proficiency in finding the focus and directrix of parabolas.

## Skills Check

See if you have mastered parabolas. Three problems are provided, and space is included for students to copy the correct answer when given.

## Matching Equations and Graphs Lesson

This worksheet explains how to match equations and graphs. A sample problem is solved, and two practice problems are provided.

## Matching Worksheet

Match the graphs to their equations.

## Equations and Graphs Practice

This can difficult really quick. Take your time.

## Matching Review

Students review how to match equations to graphs. A sample problem is solved.

## Practice the Skill

Students are given six graphs fine and match them to their equation.

## Matching Equations Quiz

See how well you can match an equation to a visual of it graphed.

## Parabola Graphs and Standard Equations Lesson

This worksheet reviews how to match with the standard equation and graphs. A sample problem is solved, and two practice problems are provided.

## Worksheet

We work this skill some more.

## Equations Practice

You have even more practice to work with on this worksheet.

## Standard Equations Review

Students will match the standard equation of each parabola with its graph. A sample problem is solved.

## Practice the Skill

Students are given six graphs. For each, they will match the correct standard equation.

## Standard Equations Quiz

Students will demonstrate their proficiency with pairing graphs, mostly parabolas, with their standard equations.

## My Skills Check

The exponent should not change the way that you start to think in here. Three problems are provided, and space is included for students to copy the correct answer when given.

## Equations of Parabolas Lesson

This worksheet explains how to write the standard equation for a parabola. A sample problem is solved, and two practice problems are provided.

## Equations of Parabolas Worksheet

Students will write the standard equations for parabolas.

## Give Me Some Practice

This worksheet explains how to write the standard equation for a parabola. A sample problem is solved, and two practice problems are provided.

## Review and Practice

We review this skill and take it to the next level. Six practice problems are provided.

## Skills Quiz

Students will demonstrate their proficiency in writing the standard equation for a parabola.

## The Check In

Write the equation of the parabola in standard form. Three problems are provided, and space is included for students to copy the correct answer when given.

## Writing Standard Equations of Parabolas Lesson

Standard form of the given parabola is (x - h)2

## Writing Equations Worksheet

Students will write the standard equation for each graph.

## More Practice

Students will study each graphed parabola and write its standard equation.

## My Review

What is up with graphed parabola? A sample problem is solved.

## Practice the Skill

Students are given six graphed parabolas. For each, they will write the standard equation.

## Writing Standard Equations Quiz

Students will demonstrate their proficiency in writing the standard equation for parabolas on a graph.

## The Big Check

Students will write the standard equation to match each parabola on the graphs. Three problems are provided, and space is included for students to copy the correct answer when given.

## Characteristics of Parabolas Lesson

This worksheet explains how to write the equation for the parabola that has a given characteristic. A sample problem is solved, and two practice problems are provided.

## Worksheet

An example of the work for students will write the equation for parabola that has a Focus: (0, 9) Directrix: y = -9.

## Practice Worksheet

This worksheet will help you sniff it out sooner. A sample problem is solved, and two practice problems are provided.

## Our Review and Practice

Work to master this skill over this series of problems. Six practice problems are provided.

## Class Quiz

Students will demonstrate their proficiency this skill and see how they match up with other students.

## Characteristics Check

Learn how to write an equation for the parabola when given specs. Three problems are provided, and space is included for students to copy the correct answer when given.