Question

Use technology to determine an appropriate model of the data. (0,0), (1,-3), (2,-4), (3,-3), (4,0)

a.f(x) = – (x+2)2^2+ 4
b. f(x) = (x+2)^2 + 4
f(x) = – (x-2)^2 - 4
d. f(x) = (x-2)^2- 4

Answer 1

The answer is the third one I believe. :)

Answer 2

We have to plug in the values in those functions.
f ( 0 ) = ( 0 - 2 )² - 4 = 4 - 4 = 0
f ( 1 ) = ( 1 - 2 )² - 4 = 1 - 4 = - 3
f ( 2 ) = ( 2 - 2 )² - 4 = 0 - 4 = - 4
f ( 3 ) = ( 3 - 2 )² - 4 = 1 - 4 = - 3
f ( 4 ) = ( 4 - 2 )² - 4 = 4 - 4 = 0
Answer:
D. f ( x ) = ( x - 2 )² - 4