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Algebra II Chapter 9 Review. Application for 100.
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Application for 100 The cross section of a newer solar cooker is a parabola modeled by the equation , with distances measured in centimeters. The bracket that holds the pan for the cooker needs to be placed at the focus. Assuming that the vertex is at , where should the bracket be placed?
Application for 200 The EuroDish was developed to provide electricity in remote areas, collecting sunlight with a parabolic reflector, which, in turn, powers the engine located at the focus. Assume that a cross section of the parabolic reflector has its vertex at . The engine is 12 ft from the vertex. Write an equation for the parabola.
Application for 300 A searchlight has a parabolic reflector and has a cross-section that forms a “bowl”. The parabolic “bowl” is 42 inches wide from rim to rim and 31.5 inches deep. The filament of the light bulb is located at the focus. How far from the vertex is the filament of the light bulb?
Application for 400 The cross section of a sound bowl is a parabolic shape. The bowl is 52 ft from rim to rim and 26 ft deep. In order for a perfect sound pick up the end of the microphone needs to be at the focus. How far away should the end of the microphone be from the deepest part of the bowl?
Application for 500 A searchlight has a parabolic reflector and has a cross-section that forms a “bowl”. The parabolic “bowl” is 66 inches wide from rim to rim and 49.5 inches deep. The filament of the light bulb is located at the focus. Determine the equation of the parabola used for the reflector.
Parabolas for 400Given the graph determine the equation of the parabola