Use the graph to complete the input-output table. list the answer in the format of (x, y). a) 7, 13 b) 7, 16 c) 8, 13 d) 9, 13

Option: D is correct.

The format of (x,y) is:

(9,13)

Step-by-step explanation:

We have to use the graph to complete the given input-output value.

The table is given as:

Input           Output

2                      1

x                      8

11                     10

14                     y

As the graph is a straight line we will find the equation of a line with the help of two points and with the help of the equation of line we will find the missing number x and y.

We know that the equation of a lien passing through two points (a,b) and (c,d) is calculated  as:

As the line passes through (2,1) and (11,10) so the equation of line is:

Hence, when y=8 we have:

Hence, x=9

and when x=14 we have:

so, the format of (x,y) is:

(9,13)

hello,

as we don't know if g(x) is continue,

answer b

f(x)=2x²-8x+1=2(x²-4x+4)+1-8=2(x-2)²-7

vertex is (2,-7) ( a minimum since coefficient of x² is > 0)