Thread: function help

Find the minimum value of the quadratic y = 2x2 - 8x + 8. At what x-value does the minimum occur? State the domain and range of this function.

Originally Posted by euclid2

Find the minimum value of the quadratic y = 2x2 - 8x + 8. At what x-value does the minimum occur? State the domain and range of this function.

This is a parabola faces upwards, so the minimum point is going to be the vertex of the parabola. Write the equation in the form of then the vertex is the point (h,k). The domain is all possible values of x, which you should see quickly. The range is the values of y covered by this graph - you know this graph has a minimum, so that's one bound of the range. Is there a maximum value?

Originally Posted by Jameson

This is a parabola faces upwards, so the minimum point is going to be the vertex of the parabola. Write the equation in the form of then the vertex is the point (h,k). The domain is all possible values of x, which you should see quickly. The range is the values of y covered by this graph - you know this graph has a minimum, so that's one bound of the range. Is there a maximum value?

The vertex i get is (2,0), is this correct?