Question

A parabola passes through the points (-3,0), (-2,3), and (-1,4). What function does it represent? Use the graphing tool to determine the function.

A. 

f(x) = -x2 + x + 3

B. 

f(x) = -2x2 − x + 3

C. 

f(x) = -x2 − 2x + 3

D. 

f(x) = 2x2 − x − 3

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Answer 1

Answer: C

Explanation:

(-1,4) is the vertex. reflect (-2,3) and (-3,0) onto the other side of the y-axis. you may use desmos to plug in the functions and the answer will be C, since it goes through the points given and reflected.