- RAJASUMAN PEDDI
- Oct 26, 2016

Question : A model rocket is launched from an initial height of 5 feet. The height of the ball f in feet above sea level, after x seconds can be expressed by a quadratic equation. If the model rocket reaches height of 86 feet exactly 3 seconds after it has been launched, which of the following equations represents this relationship?
a) f=5(x?3)2+86f=5(x?3)2+86
b) f=?5(x?3)2+86f=?5(x?3)2+86
c) f=9(x+3)2+86f=9(x+3)2+86
d) f=?9(x?3)2+86f=?9(x?3)2+86
This is one of the toughest questions even for SAT tutors asked on algebra in SAT. You need to use the concepts of the quadratic equation and geometry at the same time to solve this question. There are 2 ways to tackle this question. One of them is solving this question using real algebra concepts. Another way is plugging values in the options given and eliminating options till you are left with the right answer. Using real algebra concept will take time and there is a chance you make mistakes while creating the equation.
So smartest way is to eliminate options by plugging in values.
Go through the question with detailed explanation in the PDF below.

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