Quadratic Function Analysis

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
What is the maximum height?

A ball is thrown from ground level straight up into the air at an initial velocity of 54 feet per second. The height of the ball tseconds after it is thrown is given by the formula h(t) = 54t − 16t². How many seconds after the ball is thrown will it return to the ground?

Quadratic function $$h$$  can be used to model the height in feet of a rocket from the ground $$t$$  seconds after it was launched. The graph of the function is shown. Which of the following statements is true?

A ball is thrown into the air with an initial velocity of 15 m/s. The height of the ball can be modeled by the equation h(t) = -2t^2 + 15t + 3, where h(t) represents the height of the ball at time t in seconds. How long does it take for the ball to reach its maximum height?

​ (a)   ​ (b)   ​ (c)   ​ (d)   ​ (e)  

Analyze the given graph and the determine the correct function.​ (a)   ​ (b)  

Which of the following are true about the quadratic function shown? (Choose TWO answers)

The equation for the function f is shown.

$$f\left(x\right)=-\frac{1}{2}x+3$$

The quadratic function g has the following properties.

*g has a lesser y-intercept than f.

*The maximum value and y-intercept of g are not equal.

*First g increases, then it decreases.

Drag the vertex and the y-intercept to show possible locations for the vertex and y-intercept of g.