Texas university quarterback, michael daniels, is standing on his own 10-yard line. he throws a pass tword the opposite goal line. the football is 2 yards above the ground when the quarterback lets it go. it follows a parabolic path. reaching its highest point, 30 yards above the ground. it is caught 50 yards downfeild at a point 2 yards above the ground. let x be the number of yards the football travels horizontally, and let y be the number of yards the ball is above ground. draw the graph of the function

The function is .

Explanation:

It is given that Michael Daniels, is standing on his own 10-yard line. He throws a pass toward the opposite goal line. The football is 2 yards above the ground when the quarterback lets it go.

It follows a parabolic path. Reaching its highest point, 30 yards above the ground. It is caught 50 yards downfield at a point 2 yards above the ground.

So, the initial point is (10,2) and the other point is (60,2).

The height function of a football represents a downward parabola. The maximum point of the function is called vertex. So the vertex is (h,30).

The two point (10,2) and (60,2) have same y-coordinate, therefore the function is maximum at the midpoint of both points.

So, the function is maximum at x=35. Hence the vertex is (35,30)

The standard form of the parabola is,

Where (h,k) is vertex and a is scale factor.

Since vertex is (35,30).

The initial point is (10,2).

So the function of height is.

The graph of the function is shown below.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

4.

step-by-step explanation:

it have the same area.brainliest