MATH PROLEMGood old st. Nick needs your help getting from Andria's house to Tong's house on Xmas eve. Of course that means rooftop to rooftop. with...

I can not draw you a picture. However I will describe how
you could draw the parabola.

We will assume that the tree
is the y-axis.

The tree stands 190 feet
above the roof.

Then the maximum of the parabola is the
point ( 0, 190)

Now the distance between the roofs will
represent the distance on the x-axis.

The distance is 300
feet.

The tree is half way between the
roofs.

==> The roofs if 150 feet from the origin
point if opposite directions.

Then the points ( 150, 0) and
( -150, 0) represent the roofs.

Then, The parabola is
facing down .

==> y = -ax^2 +
b

We will substitute the point (0,
190)

==> y(0) = b =
190

==> y = -ax^2 +
190

Now we will substitute with (150,
0)

==> y( 150)= -a(150)^2 + 190 =
0

==> a = 190/ 150*150 =
19/2250

==> y= (-19/2250) x^2 +
190

Notes