The vertex of the parabola below is at the point (1,-3). Which of the equations below could be the one for this parabola?
6
(1, -3)
A. X=-3(4-1)
O B. y= (x + 1)2-3
O c. y = (x-1)2-3
O D. y = (x+3)2 + 1

C

Step-by-step explanation:

because vertex is (1,3)

and in c ,y=(x-1)^2-3

so ,y= (1,-3)

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.