Ms. Kale's art students are
| creating a circular mural that has
a height of 8.5 feet at its
center. What is the area of the
mural to the nearest tenth?

56.7 ft^2

Step-by-step explanation: The area of a circle is (pi)r^2

According to the problem, the height of the circular mural is 8.5 at its center. I’m assuming this means that this measurement is the diameter, which means we need to divide by 2 to get the radius.

8.5/2 = 4.25

Using pi as 3.14: (3.14)4.25^2 = 56.72

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this