A quadratic function g is given. g(x) = 2x2 + 8x + 14 (a) Express g in standard form (b) Sketch a graph of g (c) Find the maximum or minimum value of g

Answer 1

The function is already in standard form

This is an upward facing parabola so it has no maximum; as x increases toward infinity y approaches infinity

The minimum value is at the vertex. The x coordinate of the vertex is at -b/2a which is -8/4= -2 The y value at x=-2 is 2(-2)^2 + 8(-2)+ 14= 8-16+ 14= = 6So minimum value is 6