Answer:
f(x) = 3x² – 2x + 5.
Explanation:
Given : Table with x and f(x).
To find : Which quadratic function is represented by the table.
Solution : We have given that
We need to plug different values of x in f(x).
For x = -2.
f(x) = 3x² – 2x + 5
f(-2) = 3(-2)² – 2(-2) + 5.
f(-2) = 12 + 4 + 5.
f(-2) = 21.
f(-1) = 3(-1)² – 2(-1) + 5.
f(-1) = 3 + 2+ 5.
f(-1) = 10.
Therefore, f(x) = 3x² – 2x + 5.