find the equation if The maximum value of g is g(-1)=6, and g(-3)=4

Question

this is a writing quadratic function problem.HELP

Answer 1

The parabola is the quadratic that has a maximum.

 

y = a(x - (-1))² + 6               vertex form

y = a(x + 1)² + 6                  simplify

4 = a(-3 + 1)² + 6               substitute other point

4 = 4a + 6                           simplify

-2 = 4a                                subtract 6 from both sides

-1/2 = a                               divide both sides by 4

 

y = (-1/2)(x + 1)² + 6