Question

determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and
then find the value.

f(x) = 2x^2+12x

Answer 1

Step 1:

A quadratic function represents a parabola in the graph.

The quadratic function

Compare it to standard form of quadratic function

Since , the parabola opens upward and it has minimum value.

Step 2:

Minimum value of the quadratic function is vertex .

           

Minimum point is

Minimum value of the function is.

Solution :

Minimum value of the function is.