For each quadratic function below, use the idea of completing the square to write it in graphing form. Then state the vertex of each parabola. Homework Help ✎
f(x) = x2 + 4x + 5
f(x) = x2 − 6x
In both graphs, does the vertex represent the maximum or minimum value of the parabola?
Draw tiles to help you make the expression into a square.
Put it into graphing form and from there figure out the vertex.
f(x) = (x + 2)2 + 1,
vertex: (−2, 1)
See part (a).
Is the vertex the highest (maximum) or lowest (minimum) point on the graph?