Effect of a and k - MBF 3C Lesson 2 The Quadratic Relation...

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MBF 3C Unit 4 – Quadratic Relations IP a g e | 1Lesson 2 The Quadratic Relation y = ax2+ k Investigate Graphs of y = ax2+ k Pp. 180 – 182 Graph the following relationships: y = 4x2y = 0.5x2y = -2x2The Effect of Changing “aThe value of a determines the orientation and shape of the parabola relative to the graph of y =x2. If a > 0, the parabola opens upward. If a < 0, the parabola opens downward. If - 1 < a < 1, the parabola is vertically compressed relative to the graph of y =x2. If a <- 1 or a > 1, the parabola is vertically stretched relative to the graph of y =x2.
MBF 3C Unit 4 – Quadratic Relations IP a g e | 2The Effect of Changing “kthe following relationships: y = x2+ 1 y = x2- 3 The Effect of Changing “kThe value of k determines the vertical position of the parabola. If k > 0, the parabola the vertex of the parabola is k units above the x-axis. If k < 0, the parabola the vertex of the parabola is k units below the x-axis. Example 1 Identify Transformations of a Parabola Describe the shape, orientation, and vertex of each parabola relative to the graph of

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