Question

a parabola has a line of symmetry at x=-5, the minimum value of the quadratic function that it represents is -7, find a possible equation of this Parabola and explain how you found it ​

Answer 1

Explanation:

The line of symmetry is x = -5, so this is a vertical parabola and the x-coordinate of the vertex is -5.

The minimum value is -7, so this is an upwards parabola and the y-coordinate of the vertex is -7.

So one possible equation is:

y = (x + 5)² − 7

Or, we can simplify:

y = x² + 10x + 25 − 7

y = x² + 10x + 18