1-suppose the path of a baseball follows the path graphed by the quadratic function ƒ(d) = –0.6d2 + 5.4d + 0.8 where d is the horizontal distance the ball traveled in yards, and ƒ(d) is the height, in yards, of the ball at d horizontal yards. identify the domain and range that matches this situation domain: [0,12.95] horizontal yards, range: [0,9.15] vertical yards b. domain: [0,9.15] horizontal yards, range: [0,12.95] vertical yards c. domain: [0,12.95] vertical yards, range: [0,9.15] horizontal yards d. domain: [0,9.15] vertical yards, range: [0,12.95] horizontal yards 2-which of the following is the graph of y = (x – 1)2 + 1?

1. The correct option B.

2.The correct option A.

Step-by-step explanation:

The given function is

Where f(d) is the height of the ball at horizontal distance d.

Put f(d)=0, to find the distance where the ball touch the ground.

Quadratic formula:

Using the quadratic formula we get

Therefore the ball is in air between d=-0.146 to d=9.146.

The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.

Therefore the correct option is B.

2.

The given equation is

                .... (1)

The standard form of parabola is

            .... (2)

Where, a is constant and (h,k) is vertex.

On comparing (1) and (2), we get

Since the value of a is positive, therefore it is an upward parabola. The vertex of the parabola is (1,1).

Put x=0 in the given equation.

Therefore the y-intercept is (0,2) and option A is correct.