Chapter 9 Conics

Chapter 9 ConicsContent Objectives: Students will be able to graph, identify features of, and write equations for conics.

Language Objectives: Students will take notes and practice problems to review conics.Distance and Midpoint Formulas

Find the distance and midpoint between the two points.(6,-3), (10, -9)Find the distance and midpoint between the two points.(-4,4), (5, -4)ParabolasWhich way does it open?Graph p. Thats the focus.Graph p. Thats the directrix.Plug in p. Graph those two points.Connect the dots.

Graph

Graph

Write the standard form of the equation of the parabola with the focus (2,0) and vertex at (0,0)CirclesFind the center.Graph the radius.

Graph

Graph

EllipsesMake coefficients 1.Graph the vertices.Graph the co-vertices.Find the foci.

Write the equation of the ellipse with center at (0,0) and Vertex (0, -7), co-vertex (4, 0)Write the equation of the ellipse with center at (0,0) and Vertex (-9, 0), focus ( , 0)

HyperbolasMake coefficients 1.Make the box.Graph the vertices.Graph the asymptotesFind the foci.

Graph

Write an equation of the hyperbola with the given foci and vertices.Foci: (-5, 0), (5, 0)Vertices: (-2, 0), (2, 0)Write an equation of the hyperbola with the given foci and vertices.Foci: (0, -3), (0, 3)Vertices: (0, -1), (0, 1)Classify Conics.Complete the square.Find the center/vertex. Opposite signs inside the parentheses.Classify the conic section. Identify the center or vertex.

Classify the conic section. Identify the center or vertex.

Classify the conic section. Identify the center or vertex.

Homework/ClassworkNone.