Graph the quadratic y=x^2+2x+4. What is the axis of symmetry?
The axis of symmetry of a quadratic function in the form of y = ax^2 + bx + c is given by the equation x = -b/2a.
For the quadratic function y = x^2 + 2x + 4, a = 1 and b = 2.
Therefore, the axis of symmetry is x = -(2)/(2*1) = -1.
To graph the quadratic function, we can use the vertex form of a quadratic function, which is y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
In this case, the vertex form is y = (x + 1)^2 + 3.
The graph of the quadratic function y = x^2 + 2x + 4 is a parabola that opens upwards, and its axis of symmetry is x = -1.
The vertex of the parabola is (-1, 3).