Answer:
C. y = x^2 + 4x.
Step-by-step explanation:
Area of a trapezoid = (h/2)(a + b) where h is the altitude and a and b are the lengths of the parallel sides.
So here
Area y = (x/2)(8 + 2x)
= 8x/2 + 2x^2/2
= 4x + x^2.
Answer in the attachment.
<span>f(x<0)=-f(x>0)=-x^2+5x+12
When x>0, x^2-5x-12=12, x=8, y=12
Therefore, f(x)=12 goes through point (8,12).</span>
Answer: Rectangle.
I'll show you using the graphing calculator, Desmos.
As you can see, in the area which all inequalities overlap, there is a rectangle.
B is the answer i believe.