Determine the direction that this parabola opens y=x^2+2x+8up or down

up

Step-by-step explanation:

The standard equation for a parabola is y = ax^2 + bx + c.  If the coefficient a is positive, then the curve (graph) opens up.

In y=x^2+2x+8  this coefficient is +1, so the curve opens up.

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2