(110, 80) (170, 100) (200, 80) Using the height of 80 feet as a baseline (because that is also the height the roller coaster is when it levels off), determine the rule for the polynomial func- tion representing the height of the roller coaster, h(x), at a horizontal position of x feet from that of the boarding station. This rule can be left in factored h(x)-0(x-09(x-09+0 = Maximum Height: ft
The roller coaster is 80 feet above the ground at a horizontal position of 110 feet from the boarding station.
The roller coaster is at a height of 100 feet above the ground as it descends the hill and reaches a horizontal position of 170 feet from the boarding station.
The roller coaster levels off at a height of 80 feet above the ground at a horizontal position of 200 feet from the boarding station, then resumes dropping.
A drawing of a section of the roller coaster with points marked at 110 comma 80, 170 comma 100, and 200 comma 80.
Using the height of 80 feet as a baseline (because that is also the height the roller coaster is when it levels off), determine the rule for the polynomial function representing the height of the roller coaster, h open parentheses x close parentheses, at a horizontal position of x feet from that of the boarding station. This rule can be left in factored form.
Fill in the blanks to report your result as follows.
a should be written as an integer or simplified fraction.
The factors in the form open parentheses x minus x subscript 1 close parentheses should be listed in the order as they appear on the graph above, from left to right.
Include the exponents to include the multiplicity, even if the multiplicity is one.
Using the CALC feature of your TI-84+ calculator, approximate the maximum height of this section of roller coaster. Round the answer to one decimal place.
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