Write the equation of the quadratic function whose graph is a parabola containing the given points.
-An egg is dropped from the top of a 1600-foot-high building. The ball is 1456 feet above the ground after 3 seconds, and it reaches level ground in 10 seconds. The height above the ground is a quadratic function of the
Time after the ball is thrown. Write the equation of this function.
A) $y = 16 x ^ { 2 } - 1600$
B) $y = - 16 x ^ { 2 } + 160$
C) $y = 16 x ^ { 2 } + 1600$
D) $y = - 16 x ^ { 2 } + 1600$

Question

Write the equation of the quadratic function whose graph is a parabola containing the given points.
-An egg is dropped from the top of a 1600-foot-high building. The ball is 1456 feet above the ground after 3 seconds, and it reaches level ground in 10 seconds. The height above the ground is a quadratic function of the
Time after the ball is thrown. Write the equation of this function. 
A) $y = 16 x ^ { 2 } - 1600$
B) $y = - 16 x ^ { 2 } + 160$
C) $y = 16 x ^ { 2 } + 1600$
D) $y = - 16 x ^ { 2 } + 1600$

Quizplus · Accepted Answer

The correct equation is $y = -16x^2 + 1600$. This is because the object starts at 1600 feet and falls, indicating a negative quadratic coefficient (acceleration due to gravity), and it reaches the ground after 10 seconds, which fits the given equation when $x = 10$, $y = 0$.

Write the Equation of the Quadratic Function Whose Graph Is y=16x2−1600y = 16 x ^ { 2 } - 1600y=16x2−1600

Write the Equation of the Quadratic Function Whose Graph Is $y = 16 x ^ { 2 } - 1600$