Question

colin and daniel each dropped a football from different heights. the height of colins football (in feet) can be described by the following function, where x is the number of seconds since he dropped the football. f(x) = -16x² + 14 the height of daniels football can be described by the following graph. draw (graph with a parabola) 〇 colin 〇 daniel

Explanation:

Step1: Find Colin's initial height

For Colin's function \( f(x) = -16x^2 + 14 \), when \( x = 0 \) (initial time), \( f(0)=-16(0)^2 + 14 = 14 \) feet.

Step2: Find Daniel's initial height

From Daniel's graph, the y - intercept (initial height, when \( x = 0 \)) is less than 14 (the peak is around 13, so initial height is less than 14). Since they dropped from different heights, and Colin's initial height is 14, we compare the initial heights. But the question is likely about who dropped from a higher height. Colin's initial height is 14, Daniel's is less than 14. So Colin dropped from a higher height.

Answer:

Colin