orm of a quadratic equation. The other four graphs are generated by manipulating this parent function. You know what each term means in this vertex form: y = a(x - h)2 + k . You know about the maximum and the minimum of a quadratic.
Task 1:
1. Use the vertex formula, and find how you can get the parent equation y = x2. 2. Select one of the colored graphs. Using your knowledge about the vertex formula and the quadratics, including the maximum and the minimum, determine the equation of the graph you selected.
3. Write the equation in vertex form.
4. Use Desmos to graph the equation to check the accuracy.
Task 2:
1. Post your equation.
2. In your post, include the following elements:
- Which one of the colored graphs the equation represents.
- The reason why you picked the graph to write the equation among the four graphs.
- The detailed process you took to come to the equation you wrote. (Explain in the way other people can follow to write the equation.)
- Why the equation can represent the graph of your choice in detail. Use what you know about the quadratics and their graphs to convince the readers that the equation actually represents the graph without having them use the graphing calculator.
