Is this relation a function? Justify your answer. 11
10
9
8
7
.
6
5
4
3
.
2
1
1 2 3 4 5 6 7 8 9 10 11
A. No, because two points with the same y-value have different x-
values.
B. Yes, because the number of x-values is the same as the number of
y-values.
C. Yes, because every x- and y-value is positive.
D. No, because two points with the same x-value have different y
values.

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

it will be a cylinder. with a diameter of 8 and 4 single pieces high

step-by-step explanation: