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Chapter 9 Conics. Content 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.
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Chapter 9 Conics Content 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.
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)
Parabolas Which way does it open? Graph p. That’s the focus. Graph –p. That’s the directrix. Plug in p. Graph those two points. Connect the dots.
Write the standard form of the equation of the parabola with the focus (2,0) and vertex at (0,0)
Circles Find the center. Graph the radius.
Ellipses Make 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)
Hyperbolas Make coefficients 1. Make the box. Graph the vertices. Graph the asymptotes Find the foci.
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.
Homework/Classwork None.