When you come to the exploration meeting, be ready to discuss the following:
1. What are some methods for calculating the vertex and axis of symmetry for each equation? 2. Determine which solution method you would prefer to use to solve each of the equations. What are the pros and cons of using that method for each situation? 3. In general, how would you decide which method is best for a given equation? 4. Without graphing each quadratic, what are some of the key features of the equation that will let you know what the graph will look like?
Thank you for the opportunity to help you with your question!
The vertex of a quadratic equation is the highest or lowest point of that equation. It lies on
the plane of symmetry of the entire parabola as well; whatever lies on
the left of the parabola is a complete mirror image of whatever is on
the right. If you want to find the vertex of a quadratic equation, you
can either use the vertex formula, or complete the square.
1.Identify the values of a, b, and c. In a quadratic equation, the x2 term = a, the x term = b, and the constant term (the term without a variable) = c.
2.Use the vertex formula for finding the x-value of the vertex.
The vertex is also the equation's axis of symmetry. The formula for
finding the x-value of the vertex of a quadratic equation is x = -b/2a. Plug in the relevant values to find x. Substitute the values for a and b.
Please let me know if you need any clarification. I'm always happy to answer your questions.