The vertex of the parabola below is at the point (2,4), and the point (3,6) is on the parabola. What is the equation of the parabola?
10
(3,6)
(2,4)
TO
10
10
A. y= 2(x - 2)2 + 4
B. x = 4(y - 3)2 + 1
C. y= 6(x - 2)2 + 4
D. y = 3(x - 4)2 + 2

A. y= 2(x - 2)2 + 4

Step-by-step explanation:

vertex having an x value of 2 means the phrase in paren must be x - 2.

This eliminates B and D

vertex having a y value of 4 is of no help as the remaining two equations will result in 4 if the x term is 2

plugging in x = 3 makes y = 6 in equation A, but not in equation C where y = 10

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

nada

step-by-step explanation: