The National Science Centre is housed in a majestic building with a parabolic dome. Assume the dome has a height of 20m and the radius of the circular base is +25m (right side), -25(left side) looking at a vertical cross-section plane that passes through the centre of the dome, find the equation of parabola represents the outline of the dome. shift the parabola to other position, obtain another equation. if the parabola is inverted in both cases, find the corresponding equations. make conclusion from the equations of the parabolas. please help me to solve this :'

Question

The National Science Centre is housed in a majestic building with a parabolic dome. Assume the dome has a height of 20m and the radius of the circular base is +25m (right side), -25(left side) looking at a vertical cross-section plane that passes through the centre of the dome, find the equation of parabola represents the outline of the dome. shift the parabola to other position, obtain another equation. if the parabola is inverted in both cases, find the corresponding equations. make conclusion from the equations of the parabolas. please help me to solve this :'<

mathstudent55 · Answer

The parabola looks like this.
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