The function h(x)=−(x−4)2+300ℎ(𝑥)=-(𝑥-4)2+300 gives a metal ball's height above the ground in feet x𝑥 seconds after it is thrown off of a building, where 0≤x≤200≤𝑥≤20. Which of the following is the best interpretation of the vertex of the graph of y=h(x)𝑦=ℎ(𝑥) in the xy𝑥𝑦-plane?The ball's minimum height occurs at 4 secondseliminateThe ball's maximum height occurs at 4 secondseliminateThe ball is initially thrown from a height of 300 feeteliminateThe ball's minimum height is 300 feet

A ball is thrown vertically upwards. Which of the following graph represent velocity-time graph of the ball during its flight (air resistance is neglected)

The graph below shows the height of a basketball after it is thrown towards a basketball hoop.Which of the following gives the domain for this function?

A Tennis ball is released from a height h and after freelyfalling on a wooden floor it rebounds and reaches height2h . The velocity versus height of the ball during its motionmay be represented graphically by :(graph are drawn schematically and on not to scale

The function 𝑓 is given by 𝑓⁡(𝑥)=2(3⁢𝑥). Which of the following statements describes characteristics of the graph of 𝑓 in the 𝑥⁢𝑦-plane?ResponsesThe graph of 𝑓 is a vertical dilation of 𝑦=2𝑥, and 𝑓⁡(𝑥) is equivalent to 8𝑥.The graph of  f  is a vertical dilation of  y equals 2 to the power of x , and  f open parentheses x close parentheses  is equivalent to  8 to the power of x .The graph of 𝑓 is a vertical dilation of 𝑦=2𝑥, and 𝑓⁡(𝑥) is equivalent to 8·2𝑥.The graph of  f  is a vertical dilation of  y equals 2 to the power of x , and  f open parentheses x close parentheses  is equivalent to  8 times 2 to the power of x .The graph of 𝑓 is a horizontal dilation of 𝑦=2𝑥, and 𝑓⁡(𝑥) is equivalent to 8𝑥.The graph of  f  is a horizontal dilation of  y equals 2 to the power of x , and  f open parentheses x close parentheses  is equivalent to  8 to the power of x .The graph of 𝑓 is a horizontal dilation of 𝑦=2𝑥, and 𝑓⁡(𝑥) is equivalent to 8·2𝑥.

​The function 𝑓 is defined by 𝑓⁡(𝑥)=𝑎⁢sin⁡(𝑏⁢(𝑥+𝑐)+𝑑), for constants 𝑎, 𝑏, 𝑐, and 𝑑. In the 𝑥⁢𝑦-plane, the points (2,2) and (4,4) represent a minimum value and a maximum value, respectively, on the graph of 𝑓. What are the values of 𝑎 and 𝑑 ?