Your Architecture class has been assigned a project to create
models of famous landmarks. You have chosen Heydar Aliyev
Museum in Baku, Azerbaijan. This archway is modeled very
closely by a parabola that has a height of 240 feet and a width of
120 feet at its base. You decide you should write the quadratic
function of this parabola so you can graph it and therefore create
a model to scale.

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kdreams2020 kdreams2020 · Answer 1 · 2020-09-19T21:13:00+02:00

Answer:

[tex]y = -(0.03(x-90)^2)+240[/tex]

Step-by-step explanation:

I hope you already understand how parabolas work, so here are the steps/equations you need:

[tex]y=\ -\left(a\left(x-c\right)^{2}\right)+\ b[/tex]

[tex]a=\frac{H}{\left(\frac{T}{2}\right)^{2}}[/tex]

[tex]c=\frac{T}{2}[/tex]

[tex]b\ =\ H[/tex]

[tex]H = 240[/tex]

[tex]T = 180[/tex]

[tex]a= 0.0296296296296[/tex]

[tex]c= 90[/tex]

[tex]b=240[/tex]

Now that you have "a", "c", and "b", plug them into the very first formula. This is the final result you get:

[tex]y = -(0.03(x-90)^2)+240[/tex]