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.

Step-by-step explanation:

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

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

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

21

step-by-step explanation: