The height h above the roadway of the main cable of the Golden Gate Bridge can be modeled by the function h (x) = 1/9000x2 - 7/15x + 500, where x is the distance in feet from the tower.

Complete the square and write the function in vertex form.

Question

Mathematics

Areli Navarro

30 June, 19:48

The height h above the roadway of the main cable of the Golden Gate Bridge can be modeled by the function h (x) = 1/9000x2 - 7/15x + 500, where x is the distance in feet from the tower.

Complete the square and write the function in vertex form.

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Answers (1)

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Annalise Figueroa · Answer 1

H (x) = 1/9000x^2 - 7/15x + 500 = 1/9000 (x^2 - 4200x + 4500000) = 1/9000 (x^2 - 4200x + 4410000 + 90000) = 1/9000 (x - 2100) ^2 + 1/9000 (90000) = 1/9000 (x - 2100) ^2 + 10

h (x) = 1/9000 (x - 2100) ^2 + 10

The height h above the roadway of the main cable of the Golden Gate Bridge can be modeled by the function h (x) = 1/9000x2 - 7/15x + 500, where x is the distance in feet from the tower.Complete the square and write the function in vertex form.

The height h above the roadway of the main cable of the Golden Gate Bridge can be modeled by the function h (x) = 1/9000x2 - 7/15x + 500, where x is the distance in feet from the tower.

Complete the square and write the function in vertex form.