Translating Conic Sections

Translating conic sections a hyperbola the foci of the refl ector answers may vary.

Translating conic sections. Practice 10 6translating conic sections identify the conic section represented by each equation by writing the equation in standard form. F x 1 x. For an ellipse or hyperbola give its center and foci.

X2 2 25 1 y12 2 6 25 51 the student substituted k for h and h for k respectively. The vertex of the parabola used to be at the origin. By james jones college algebra lecture notes math 116 tweet.

If k is negative the graph will translate down. If we have a different example. Y f x 4.

Eccentricity is the ratio of the distance to the focus divided by the distance to the vertex. If an ellipse x2125 2 36 2 y 15 589 51 the value of a is half of the length of the major axis length 5. The vertex will now be at the point h k.

8 2 translation of conics eccentricity. If k is positive the graph will translate up. United states restricted mode.

If we want to translate this up 4 units then we have. The correct equation is y25 2 4 2 x14 2 5 51 21 23 2 22 2 5 20 211. A breakdown of all the major conic sections on one webpage with their general equations and graphs.