SOLUTION: To commemorate the 100th anniversary of the Nortonville Fair, an entrance arch will be built. The design engineer uses the equation 𝒉 = −𝒅𝟐 + 𝟏𝟔 to model the arch,
Question 1146570: To commemorate the 100th anniversary of the Nortonville Fair, an entrance arch will be built. The design engineer uses the equation 𝒉 = −𝒅𝟐 + 𝟏𝟔 to model the arch, where 𝒉 is the height, in metres, above the ground and 𝒅 is the horizontal distance, in meters, from the center of the arch. How wide and how tall is the arch?
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This is a parabola that hss a maximum and
not a minimum. You can tell by the negative
sign of the squared term.
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You can tell that the most positive that can be is because the other term only makes it smaller.
The vertex is at ( 0, 16 )
At the ground level, , so
This makes the total width = 8
and the height is 16
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Here's the plot:
