Answer:
Opens: Up
Maximum or minimum: Minimum is -4
Describe the translation: A vertical shift of 4 downwards
Answer: -8x^3y^2 (choice B)
The coefficients multiply to 4 times -2 = -8
the x terms multiply to x^2 times x = x^(2+1) = x^3
The y terms multiply to y times y = y^(1+1) = y^2
So that's how I ended up with -8x^3y^2
The three vectors 
, 
, and 
each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,
Then the cross product of these two results is normal to the plane:
Let 
be a point on the plane. Then the vector connecting to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that
which reduces to the equation of the plane,
Let 
. Then the volume of the region above 
and below the plane is
Proportional and linear functions are almost identical in form. The only difference is the addition of the “b” constant to the linear function. Indeed, a proportional relationship is just a linear relationship where b = 0, or to put it another way, where the line passes through the origin (0,0).
You’re welcome
Answer:
1
Step-by-step explanation:
We have the function
and we want to know the value of 
.
The first step is to find 
; we can subtract 1 from it at the end! But what does mean?
Basically, we're saying <em>"what is the value of the function when </em>
<em> ?"</em>
So, we simply replace 
with 3 in the function, and we get:
.
Finally, we subtract 1 to find 
.
