Question

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.

Answer 1

`y = -(0.03(x-90)^2)+240`

Explanation:

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

`y=\ -\left(a\left(x-c\right)^(2)\right)+\ b`

`a=(H)/(\left((T)/(2)\right)^(2))`

`c=(T)/(2)`

`b\ =\ H`

`H = 240`

`T = 180`

`a= 0.0296296296296`

`c= 90`

`b=240`

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

`y = -(0.03(x-90)^2)+240`