Sanjay begins to correctly graph the function f (x) = (x + 1) 2 - 3. Based on the axis of symmetry and the vertex, which graph could be Sanjay's?

F (x) = (x+1) ² - 3

Graph A - incorrect

x = 1

f (1) = (1+1) ² - 3

f (1) = 2² - 3

f (1) = 4 - 3

f (1) = 1

(1,1)

Graph B -

x = - 3

f (-3) = (-3+1) ² - 3

f (-3) = - 2² - 3

f (-3) = 4-3

f (-3) = 1

(-3,1)

Graph C

x = - 1

f (-1) = (-1+1) ² - 3

f (-1) = 0² - 3

f (-1) = - 3

(-1,-3)

Graph D - incorrect

x = 3

f (3) = (3+1) ² - 3

f (3) = 4² - 3

f (3) = 16 - 3

f (3) = 13

(3,13)

Either B or C can be Sanjay's because they were graphed correctly.