ALG1.MATH.6.C
Write quadratic functions when given real solutions and graphs of their related equations.
Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
quadratic functionsreal solutionsgraphsrelated equations
Skills
- write (quadratic functions when given real solutions) #dok2
- write (quadratic functions from graphs of related equations) #dok2
- interpret (graphs of quadratic equations) #dok2
- connect (real solutions to the graph of a quadratic function) #dok3
Learning Targets
- I can write quadratic functions when I am given the real solutions. #dok2
- I can write quadratic functions based on the graph of their related equations. #dok2
- I can identify the connection between the real solutions and the graph of a quadratic function. #dok2
- I can interpret how real solutions appear as x-intercepts on the graph of a quadratic function. #dok2
- I can relate information from the graph and the real solutions to formulate the quadratic function. #dok3
Big Ideas
- Quadratic functions can be constructed using information from their real solutions or their graphs.
- There is a direct relationship between the real solutions of a quadratic equation and the x-intercepts of its graph.
Essential Questions
- How can you determine a quadratic function if you are given its real solutions?
- What information from a graph helps you to write its corresponding quadratic equation?
- How do the real solutions of a quadratic equation relate to its graph?
- In what ways can quadratic functions be represented using different types of information?
- What steps do you take to write a quadratic function given its graph or its solutions?