I need an answer for question F Laser BeamsA concert stage has a parabolic roof. The front edge of the roof is definedby the equation h(x) = -x² + 8, where x is the horizontal distance from%3Dthe centre and h is the height, both in metres. A vertical lighting tower isbuilt at x = 9. Coloured laser lights are installed at various intervals goingup the tower. The beams of light are to shine on the front edge of the roof,with their paths defined by the following equations.Blue: 6x + 8y – 73 = 0Green: x + 2y – 17 = 0Orange: x + y – 10 = 0Red: 2x + 8y – 67 = 0%3Da) Sketch the graph of h(x).b) Determine the coordinates of any point(s) of intersection of each laserbeam with the edge of the roof.c) All but one of these laser beams share a common property. Describe theproperty.d) Determine the height of each light source on the tower.e) Determine an equation for the path of a fifth laser beam that is to betangent to the edge of the roof at the vertex. Where should this lightsource be located on the tower?f) Consider the one laser light that does not share the common property.Keeping the location of the light source fixed, determine a new equationfor the path of the laser light so that it now shares the common property.Where does it intersect the edge of the roof?

Name: I need an answer for question F Laser BeamsA concert stage has a parab
Uploaded: 2024-03-20T07:07:37.000Z
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Description: I need an answer for question F Laser BeamsA concert stage has a parabolic roof. The front edge of the roof is definedby the equation h(x) = -x² + 8, where x is the horizontal distance from%3Dthe centre and h is the height, both in metres. A vertical

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f) Consider the one laser light that does not share the common property. Keeping the location of the light source fixed, determine a new equation for the path of the laser light so that it now shares the common property. Where does it intersect the edge of the roof?