Download Conic Sectionson the Mac App Store. Download the Conic Sections Graphing Calculatordocumentsto use withGraphing Calculator VIewer. Table of contents
We obtain similar equations for parabolas opening to the right or to the left (Figure 10.4 and Table 10.1). 2 Focus (0, –p ) x – 4py TABLE 10.1 Standard-form equations for parabolas with vertices at the origin sp 7 0d FIGURE 10.3 The parabola Equation Focus Directrix Axis Opens 2 ...
We already know from Section 1.8 that the graph of the equation 2 2 2 x y r is a circle. We will find equations for each of the other conic sections by analyzing their geometric properties. The conic sections have interesting properties that make them useful for many real-world ...
General Equation of a Parabola Vertical Axis Ax 2 + Dx + Ey + F = 0 Horizontal Axis Cy 2 + Dx + Ey + F = 0 To rewrite from the general form to other forms you will complete the square. Standard Equation of a Parabola If p = the focal length, then the standard form of the ...
6.1 Finding the Center and Radius of a Circle Example Find the center and radius of the circle with equation Solution Our goal is to obtain an equivalent equation of the form We complete the square in both x and y. The circle has center (3, –2) with radius 3. ...