Final answer:
To find the height of the ball when x = 2, we substitute 2 into the quadratic equation, simplify, and find that the height of the ball is 14 5/7 feet or approximately 14.71 feet.
Step-by-step explanation:
The question asks for the height of the ball when x = 2 using the given quadratic equation y = -1/14x² + 6x + 3. To find the height, we'll substitute x with 2 into the equation:
y = -1/14(2)² + 6(2) + 3
First, calculate the square of 2, which is 4. Then, multiply -1/14 by 4:
y = -1/14 * 4 + 12 + 3
Next, simplify the multiplication:
y = -4/14 + 12 + 3
Reduce -4/14 to its simplest form:
y = -2/7 + 12 + 3
Finally, add -2/7 to 12 + 3 to get the height:
y = -2/7 + 12 + 3 = 15 - 2/7
y = 14 5/7 feet or approximately 14.71 feet