Stitz-Zeager_College_Algebra_e-book

How many pieces do you need for a vertical hyperbola

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Unformatted text preview: x + 9 2 2. Put the equation into standard form and identify the vertex, focus and directrix. (a) y 2 − 10y − 27x + 133 = 0 (b) 25x2 + 20x + 5y − 1 = 0 (c) x2 + 2x − 8y + 49 = 0 (d) 2y 2 + 4y + x − 8 = 0 (e) x2 − 10x + 12y + 1 = 0 (f) 3y 2 − 27y + 4x + 211 = 0 4 3. Find an equation for the parabola which fits the given criteria. (a) (b) (c) (d) Vertex (7, 0), focus (0, 0) Vertex (−8, −9), Both (0, 0), (−16, 0) are points on the curve Focus (10, 1), directrix x = 5 The endpoints of latus rectum are (−2, −7) and (4, −7) 4. The mirror in Carl’s flashlight is a paraboloid of revolution. If the mirror is 5 centimeters in diameter and 2.5 centimeters deep, where should the light bulb be placed so it is at the focus of the mirror? 5. A parabolic Wi-Fi antenna is constructed by taking a flat sheet of metal and bending it into a parabolic shape.5 If the cross section of the antenna is a parabola which is 45 centimeters wide and 25 centimeters deep, where receiver be placed to maximize reception? 6. The graphs of vertical parabolas represent y...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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