4.4 The Quadratic Relation y = a(xh)^2+k.notebook March 08, 2016 March 8th, 2016 4.4 ‐ The Quadratic Relation y = a(x ‐ h)2 + k For any quadratic relation of the form y = a(x ‐ h)2 + k is called the Vertex Form. The coordinates of the vertex of the parabola are (h,k). Example One For each of the following relation state: i. Identify the coordinates of the vertex ii. Determine if the parabola opens upward or downward iii. Determine whether the parabola is vertically stretched or vertically compressed (narrower/wider) 1 4.4 The Quadratic Relation y = a(xh)^2+k.notebook March 08, 2016 To sketch a quadratic relation, plot the vertex and four other points, two on either side of the vertex where possible Steps for Graphing a Parabola 1. Determine the vertex from the equation and plot this point. 2. Use the "a" value to calculate the step pattern 3. Starting at the vertex use your step pattern to move to the next points on your graph 2 4.4 The Quadratic Relation y = a(xh)^2+k.notebook March 08, 2016 3 4.4 The Quadratic Relation y = a(xh)^2+k.notebook March 08, 2016 Complete: 212 - 214 # 1 - 3ace, 4ac, 6. 4
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