maximum or a minimumof a function

How do you determine if the vertex of y=x²-2x-8

is a maximum or a minimum?

Solutions

Expert Solution

To determine if a quadratic equation's vertex is a max or a min,

check the coefficient of x2

y=ax²+bx+c

if a is positive, the graph opens upward. so the vertex is a minimum

if a is negative, the graph opens downward. so the vertex is a maximum.

In your equation a=1 . We can conclude that the vertex is a minimum.

a=1 so vertex is minimum.

Sankar Maity answered 2 years ago

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