(see attached for full problem description)
(a) Use the quadratic formula to determine, to the nearest tenth, the roots of the equation:
2x^2 + 1 = -4x.
(b) Determine the vertex of the parabola y = 2x^2 + 4x + 1. (recall the x value of the vertex is given by x = -b/2a)
(c) Use parts a and b to sketch the graph of y = 2x^2 + 4x + 1. You may wish to determine a few other "points that the parabola passes through" to obtain a more accurate graph. Note the line, x = -b/2a is the axis of symmetry. What does this give you?)
The solution gives detailed steps on solving an equation using the quadratic formula, solving the vertex and finally graphing the function.