There has been a leak of the latest roller coaster design for the most amazing theme park. The internet is on fire with concerns about the safety of parts of this ride so the safety engineers in charge have decided to add ladders that reach the highest points on the ride which occur in two of the hills that the passengers will climb in the cars. Determine the height of the ladders that will need to be placed on these two parts of the roller coaster. Show all calculations involved.

Hint:
Position the start of the hill at the origin. From there you would know where the next x-intercept is based on the information given. You can then use those two zeros/x-intercepts and the information that the parabola is upside down to create the factored form of this function. You can then use that to help you find the vertex. Repeat the process for the second hill as well.