Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Algebra II Sec. 10.5 notes I. Objective: To write & graph the equation of a hyperbola. Hyperbola β the set of all points in a plane such that the absolute value of the difference of the distances from two fixed points (Foci) is constant. II. Standard form of an equation of a hyperbola: π₯2 π2 β π¦2 π2 =1 Vertices & Foci are on x -axis Asymptotes π π¦=± π₯ π 2 2 2 = π + π π π2 is first π¦2 π₯2 β =1 π2 π 2 Vertices & Foci are on y -axis Asymptotes π π¦=± π₯ π a = distance from center to the vertices (endpoints of the transverse axis) b = distance from center to the endpoints of the conjugate axis c = distance from center to the Foci (same axis as the transverse axis) Ex1 Write an equation of a hyperbola where a = 3 & b = 4. Assume that the transverse axis is horizontal. Ex2 & Ex3 Name whatβs listed & then graph the hyperbola. Ex2 π₯2 36 β π¦2 64 =1 Vertices ____________ Foci ______________ Asymptotes ___________ Ex3 25π¦ 2 β 16π₯ 2 = 400 Vertices ____________ Foci ______________ Asymptotes ___________ Assignment: p650: 9-210dd, 25, 27