Which point is on the graph of f(x)=|x-6|+7?
(5,8)
(8,10)
(6,9)
(3,11)
(4,12)

(5, 8)

Step-by-step explanation:

Convert the f(x) = to a y =

f(x) = | x - 6 | + 7

y = | x - 6 | + 7

Plug in the values and prove

y = | x - 6 | + 7

(5,8)

8 = | 5 - 6 | + 7

8 = | -1 | + 7

8 = 1 + 7

8 = 8; true

(8,10)

10 = | 8 - 6 | + 7

10 = | 2 | + 7

10 = 2 + 7

10 = 9; false

(6, 9)

9 = | 6 - 6 | + 7

9 = | 0 | + 7

9 = 0 + 7

9 = 7; false

(3, 11)

11 = | 3 - 6 | + 7

11 = | -3 | + 7

11 = 3 + 7

11 = 10; false

(4, 12)

12 = | 4 - 6 | + 7

12 = | -2 | + 7

12 = 2 + 7

12 = 9; false

Therefore the only one which falls on the graph is (5, 8)

Hope this helps :)

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