Part 3: Vertical Stretch and Compression You will be comparing each function below to the parent...

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Part 3: Vertical Stretch and Compression You will be comparing each function below to the "parent function" y=x². 1. Use the formulas to find the vertex and axis of symmetry for each function. Label this in the appropriate space. Sketch the new graph on top of the "parent function" graph in the table. Note any differences. 2. 3. a) b) c) Describe how the graph changed. For example, you may put "the graph shifted left 8 spaces" or "the graph reflected (flipped) over the x-axis". Function y = 2x² y = 5x² y = 0.2x² Information Vertex: Axis of Symmetry: Vertex: Axis of Symmetry: Vertex: Axis of Symmetry: Graph Sketch What happens when the value of a increases? In a vertex form y = a(x-h)² + k, What do you think the value of a represents in the graph? Description (What Changed?) What pens when 0 < a <1? What happens when a > 1? Part 3: Vertical Stretch and Compression You will be comparing each function below to the "parent function" y=x². 1. Use the formulas to find the vertex and axis of symmetry for each function. Label this in the appropriate space. Sketch the new graph on top of the "parent function" graph in the table. Note any differences. 2. 3. a) b) c) Describe how the graph changed. For example, you may put "the graph shifted left 8 spaces" or "the graph reflected (flipped) over the x-axis". Function y = 2x² y = 5x² y = 0.2x² Information Vertex: Axis of Symmetry: Vertex: Axis of Symmetry: Vertex: Axis of Symmetry: Graph Sketch What happens when the value of a increases? In a vertex form y = a(x-h)² + k, What do you think the value of a represents in the graph? Description (What Changed?) What pens when 0 < a <1? What happens when a > 1?

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