8adv.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).
Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
equationsquadratic functionsvertexpointgraphvertex formstandard form
Skills
- write (equations of quadratic functions given the vertex and another point on the graph) #dok2
- convert (equations from vertex form to standard form) #dok2
- identify (vertex and another point from a graph) #dok1
Learning Targets
- I can identify the vertex and another point on the graph of a quadratic function. #dok1
- I can write the equation of a quadratic function given the vertex and another point. #dok2
- I can write a quadratic equation in vertex form when provided with the vertex and another point. #dok2
- I can rewrite a quadratic equation from vertex form to standard form. #dok2
Big Ideas
- Quadratic functions can be uniquely described when the vertex and one additional point are known.
- Transforming between different forms of quadratic equations helps in understanding their properties and graphing them.
Essential Questions
- How does knowing the vertex and another point help in writing the equation of a quadratic function?
- What information is revealed about a quadratic function when it is written in vertex form versus standard form?
- How can you use the vertex and another point to write and transform the equation of a quadratic function?
- Why is it important to be able to rewrite a quadratic equation from vertex form to standard form?