Standard parabola graphing procedure applies here: find the vertex, the intercepts, and any additional points, then make the graph.
f(*h*) = -(-1)^{2} – 2(-1) + 6 = -1 + 2 + 6 = 7 The vertex is (-1, 7). *y* = -(0)^{2} – 2(0) + 6 = 6
The *y*-intercept is (0, 6). *b*^{2} – 4*ac* = (-2)^{2} – 4(-1)(6) = 4 + 24 = 28
There are two real roots / *x*-intercepts. The *x*-intercepts are and . And now we graph. |