Write the equation of the quadratic function whose graph is a parabola containing the given points.
-An egg is thrown upward from the top of a 128-foot-high building. The ball is 224 feet above ground level after 1 second, and it reaches ground level in 8 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) $y = - 16 x ^ { 2 } + 112 x + 128$
B) $y = - 16 x ^ { 2 } + 144 x + 128$
C) $y = - 16 x ^ { 2 } + 56 x + 128$
D) $y = - 16 x ^ { 2 } + 16 x + 128$

Question

Write the equation of the quadratic function whose graph is a parabola containing the given points.
-An egg is thrown upward from the top of a 128-foot-high building. The ball is 224 feet above ground level after 1 second, and it reaches ground level in 8 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) $y = - 16 x ^ { 2 } + 112 x + 128$
B) $y = - 16 x ^ { 2 } + 144 x + 128$
C) $y = - 16 x ^ { 2 } + 56 x + 128$
D) $y = - 16 x ^ { 2 } + 16 x + 128$

Quizplus · Accepted Answer

The quadratic function for the height $y$ of an object thrown upward with gravity acting on it is $y = -16t^2 + vt + h$, where $t$ is time in seconds, $v$ is the initial velocity, and $h$ is the initial height. Given that the object starts at 128 feet and hits the ground after 8 seconds, we can use the points (0, 128) and (8, 0) to find $v$. Using the point (1, 224) helps confirm the initial velocity. Plugging these values into the formula gives us $y = -16x^2 + 112x + 128$.

Write the Equation of the Quadratic Function Whose Graph Is y=−16x2+112x+128y = - 16 x ^ { 2 } + 112 x + 128y=−16x2+112x+128

Write the Equation of the Quadratic Function Whose Graph Is $y = - 16 x ^ { 2 } + 112 x + 128$