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Home > CCA > Chapter 11 > Lesson 11.2.1 > Problem 11-39

11-39.
  1. Given the quadratic function f(x) = −2(x − 2)2 + 6 Homework Help ✎

    1. Without drawing a graph, tell the coordinates of the vertex and tell if the vertex represents the maximum or minimum value of the function.

    2. Use your graphing shortcuts to draw a graph and verify your answer to part (a).

The graphing form of a quadratic is f(x) = a(xh) + k where the vertex is at the point (h, k).
If the vertex is the highest point on the graph, then it is a maximum.
If it is the lowest point on the graph, then it is a minimum.