Extra credit (turn in separately! ): find an equation for the plane that passes through the point (1; 2; 3) and cuts o the least volume in the rst octant (i. e., the part of r3 where all coordinates are non-negative). note: the volume of a pyramid is one third times the area of the base times the height. hint: it may be easiest to use the points of intersection of the plane with the three axes as the three variables. that is, assume the plane intersects the three axes at (a; 0; 0); (0; b; 0); (0; 0; c). 1

the perimeter is increased by a factor of 2

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

im with everythinglos so yeahhhhh

step-by-step explanation: