Refer to this previous solution set
===========================================================
Problem 4
Like the three earlier problems, we'll place the kicker at the origin and have her kick to the right. The two roots in this case are x = 0 and x = 20 to represent when the ball is on the ground.
This leads to the factors x and x-20 and the equation
We'll plug in (x,y) = (10,28) which is the vertex point. The 10 is the midpoint of 0 and 20 mentioned earlier.
Let's solve for 'a'.
This then leads us to:
The equation is in the form with
The graph is below in blue.
===========================================================
Problem 5
The same set up applies as before.
This time we have the roots x = 0 and x = 100 to lead to the factors x and x-100. We have the equation
We'll use the vertex point (50,12) to find 'a'.
Then we can find the standard form
The graph is below in red.
