A parabola has a line of symmetry 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.

Respuesta :

The given information tells you that the vertex of the parabola is [tex](-5,-7)[/tex]. Since this vertex is a minimum, the parabola opens upward, so you can represent it as

[tex]y=a(x+5)^2-7[/tex]

where [tex]a[/tex] is any positive number.