Conic Sections Parabola Worksheet

The cables of a suspension bridge are in the shape of a parabola.

Conic sections parabola worksheet. For ellipses and hyperbolas identify the center vertices and foci. Parabolas as conic sections a parabola is the curve formed by the intersection of a plane and a cone when the plane is at the same slant as the side of the cone. 17 2 y2 x 4y 1 0 x y 8 6 4 2 2 4 6 8 8 6 4 2 2 4 6 8 parabola x 2 y 1 2 3.

We can also write equations for circles ellipses and hyperbolas in terms of cos and sin and other trigonometric functions using parametric equations. Convert y2 6 y 4 x 1 0 to the conic form of a parabola. Students should be able to complete the square i have included an answer sheet that students can use to record their answers i.

Conic sections review worksheet 1 1. In algebra ii we work with four main types of conic sections. You ve probably studied circles in geometry class or even earlier.

Students should know the terms vertex focus and directrix. Classify each conic section write its equation in standard form and sketch its graph. Each of these conic sections has different characteristics and formulas that help us solve various types of problems.

There are examples of these in the introduction to parametric equations section. How to graph a parabola given in general form by rewriting it in standard form how to define a parabola how to write equations for vertical and horizontal parabolas how to write the equation of parabolas given the focus and vertex or vertex and directrix for algebra 2 students with videos examples and step by step solutions. The towers supporting the.

For parabolas identify the vertex and focus. A parabola can also be defined as the set of all points in a plane which are an equal distance away from a given point called the focus of the parabola and a given line called the directrix of the parabola. Classify the conic section.