ALG1.MATH.6.B
Write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)2+ k), and rewrite the equation from vertex form to standard form (f(x) = ax2+ bx + c).
Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
equationsquadratic functionsvertexgraphvertex formstandard form
Skills
- write (equations of quadratic functions given the vertex and another point) #dok2
- convert (quadratic equations from vertex form to standard form) #dok2
- interpret (graphs to identify vertex and another point) #dok2
- use (vertex form to model quadratic functions from given information) #dok3
Learning Targets
- I can write the equation of a quadratic function given the vertex and another point on the graph. #dok2
- I can write a quadratic equation in vertex form. #dok2
- I can convert a quadratic equation from vertex form to standard form. #dok2
- I can interpret a graph to determine the vertex and another point for modeling a quadratic function. #dok2
- I can use vertex and a point to construct a quadratic model that fits a given situation or set of data. #dok3
Big Ideas
- Quadratic equations can be expressed in multiple forms to reveal different features and make problem solving easier.
- Knowing how to write and convert between quadratic forms enables you to model, interpret, and solve real-world problems involving parabolic relationships.
Essential Questions
- How does the vertex form of a quadratic equation help us understand the graph of a quadratic function?
- What information do you need to write the equation of a quadratic function?
- How can you convert a quadratic equation from vertex form to standard form and why might you want to?
- In what types of real-world situations might you use the vertex and another point to write a quadratic function?
- How does changing the form of a quadratic equation affect the ability to interpret its graph?