For this question we can think about what we know:

At the starting time, the balloon is released at 45 cubits in height

After 2 seconds it reaches a maximum of 55 cubits off the ground

**PART A)** We want to write a formula h(t) to represent the height od the balloon at a given time called t. There are different equations for quadratics, one being standard form of y=ax^2 + bx + c, and one being vertex form, or y = a(x-h)^2 + k. Because we know the maximum height and time it took to get there, we have the information to plug in for the vertex (h,k) = (2, 55). Let's plug that into the vertex form formula, but we'll use t and h(t) instead of x and y:

(The entire section contains 358 words.)

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