Investigating Quadratic Functions in Vertex Form
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1. Predict what y = x^2 + 2 would "look like". Then adjust the red slider to set k = 2. This will show the graph y = x^2 + 2.
2. Predict what y = x^2 - 2 would "look like". Adjust the red slider to set k = - 2. What are the coordinates of the vertex?
3. Predict what y = (x-2)^2 would "look like". Adjust the green slider to set h = 2. This will show the graph y = (x - 2)^2.
4. Make several more predictions of functions in the form y = x^2 +k and y=(x-h)^2. Then confirm using the sliders.
5. Summarize, in your own words, how h and k adjust the graph y = x^2. Make special reference to the coordinates of the vertex.