Question1: a ball is shot from a cannon into the air with an upward velocity of 10 ft/sec. the function h(t) =-2t^2 + 10t + 12= represents the height (h) of the ball after t seconds. 1. determine what is the axis of symmetry of the function? 2. identify the roots of the quadratic function? 3. what is the y-intercept of the quadratic function? .4.) determine the vertex of the function?

1)

2)   and

3) (0,12)

4)

Step-by-step explanation:

The function represents the height (h) of the ball after t seconds.

Find the vertex of the parabola:

Hence, the vertex of the function is at point

The axis of symmetry of the function is vertical line which passes through the vertex, so its equation is

To find y-intercept, equat t to 0 and find h:

Hence, y-intercept is at point (0,12)

To find the roots of the quadratic finction, equate h to 0 and solve the equation for t:

Therefore, two roots are and