Section E Section E Checkpoint

Problem 1

For each quadratic function, if it is not in vertex form, rewrite the equation in vertex form. Then, find the vertex, and state whether it is a maximum or minimum.

  1. f(x)=x2+10x−2f(x) = x^2 + 10x -2
  2. g(x)=-(x+2)2+5g(x) = \text{-}(x+2)^2+5
Show Solution
Solution
  1. f(x)=(x+5)2−27f(x) = (x+5)^2 -27. Vertex: (-5,-27)(\text{-}5,\text{-}27), minimum
  2. It is in vertex form. Vertex: (-2,5)(\text{-}2,5), maximum
Show Sample Response
Sample Response
  1. f(x)=(x+5)2−27f(x) = (x+5)^2 -27. Vertex: (-5,-27)(\text{-}5,\text{-}27), minimum
  2. It is in vertex form. Vertex: (-2,5)(\text{-}2,5), maximum