An object is launched from a height of $130$ feet above the ground. A…

Question

Prompt

An object is launched from a height of

130

feet above the ground. A quadratic function

f

models the height above the ground, in feet, of the object

t

seconds after it is launched. According to the model,

2

seconds after the object is launched, it reaches a maximum height of

194

feet above the ground. Which equation defines

f

f (t) = - 16 (t + 194)^{2} - 2

f (t) = - 16 (t - 194)^{2} + 2

f (t) = - 16 (t + 2)^{2} - 194

f (t) = - 16 (t - 2)^{2} + 194