Introduction

Quadratic Functions can be written in three different forms. The last lesson discussed the standard form of a quadratic. This lesson will discuss vertex form of a quadratic. The vertex form of a quadratic equation is:

y = a(x-h)2 + k

Properties of Graphs in Vertex Form:

  • When a is positive the graph opens upward; when a is negative the graph opens downward
  • When h is positive the graph shifts right; when h is negative the graph shifts left.
  • When k is positive the graph shifts up; when k is negative the graph shifts down.
  • The vertex is the point ( h, k ) and the axis of symmetry is the line x = h .
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