Question

Given the table of values below from a quadratic function, write an equation of that function

X | -6 | -5 | -4 | -3 | -2|
f(x) | 2 | -1 | -2 | -1 | 2 |

Answer 1

(x+4)²-2

Explanation:

The lowest point of the curve is -2 at x=(-4)

=> The vertex of the upwards facing parabola is (-4,-2)

So, the vertex has shifted from (0,0) (vertex of x²) to (-4, -2)

Using function transformation (translation),

f(x) = (x+4)²-2