A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse? A right trapezoid with top side 7 feet and height 7 feet. The bottom side is extended to the right with 3 more feet.

A) 24.5 square feet
B) 59.5 square feet
C) 70 square feet
D) 147 square feet

147 square feet.

Step-by-step explanation: 7x7x3= 147 square feet.

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