Question

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

Answer 1

 

hello :
the parabola's equation is : f(x) = a(x-h)²+k
the verex is (h,k)
line of symmetry x = h
The minimum  or maximum value is : k 
a possible equation of this parabola is :   f(x) = a(x+5)²-7