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

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!