A ball is thrown in the air from the edge of a 48 foot high cliff so that eventually it lands on the ground.
1 answer:
Answer:
2.5 < x < 5.5
Step-by-step explanation:
A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds. For which interval is the ball's height always decreasing? A. OSX s 2.5 BO< x < 5.5 C. 2.5 < x < 5.5 D. x 22 8 7 6 5 4 3
Solution:
A quadratic function is a function in the form of:
y = ax² + bx + c; where x, y are variables, a ≠ 0, a, b, c are complex numbers.
The shape of the graph of a quadratic function is a parabola. That is it increases to a maximum point and the begins to decrease, or it decreases to a minimum point and the begins to increase.
From the graph, we can see the height of the ball is increasing from 0 ≤ x ≤ 2.5. But when it reaches 2.5 (maximum point), it begins to decrease from 2.5 < x < 5.5
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