Maximum Value

Question

State a function that has a maximum at (-5, -1)

Answer 1

One example is to make (-5,-1) the vertex of a concave-down parabola.

 

y = a(x - h)² + k

 

h = -5

k = -1

a = any negative number, to ensure the parabola is concave-down.  You can pick a = -1.

 

y = -(x + 5)² - 1