+1995 The table shows the length and area of a square patio whose equation is y=12x−x2 where x represents the length of the side of the patio and y represents the area of the patio.
What does the point (6, 36) represent graphically?
A) the y-intercept
B)the vertex
C) the minimum point
D) the x-intercept
x y
1 11
2 20
3 27
4 32
5 35
6 36
7 35
+129852 It represents the vertex.....we can see this as follows
y = -x^2 + 12x the x coordinatee of the vertex is given by :
-12 / [ 2 * -1 ] = -12 / -2 = 6
To find the y coordinate of the vertex, put 6 back into the function
y = -(6)^2 + 12(6) = -36 + 72 = 36
So....the vertex is (x, y) = ( 6, 36)
