ALG2.MATH.4.B
Write the equation of a parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening.
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
equationparabolaattributesvertexfocusdirectrixaxis of symmetrydirection of opening
Skills
- write (the equation of a parabola given its attributes) #dok2
- identify (attributes of a parabola: vertex, focus, directrix, axis of symmetry, direction of opening) #dok1
- interpret (how each attribute affects the equation and graph of a parabola) #dok2
- analyze (the relationship between geometric attributes and their algebraic representations) #dok3
Learning Targets
- I can identify and describe the vertex, focus, directrix, axis of symmetry, and direction of opening for a parabola. #dok1
- I can write the equation of a parabola using its vertex, focus, directrix, axis of symmetry, and direction of opening. #dok2
- I can interpret how changing the vertex, focus, or directrix affects the graph of a parabola. #dok2
- I can analyze how the geometric properties of a parabola relate to its algebraic equation and graph. #dok3
Big Ideas
- A parabola’s graph and equation are determined by specific attributes such as its vertex, focus, directrix, axis of symmetry, and direction of opening.
- Connecting geometric descriptions and algebraic equations of parabolas deepens understanding of their structure and properties.
Essential Questions
- How do the vertex, focus, and directrix define the shape and position of a parabola?
- What role does the axis of symmetry play in the equation and graph of a parabola?
- How can you write the equation of a parabola if you know its geometric attributes?
- How does changing the direction of opening or position of the vertex affect the graph and equation of a parabola?
- Why is it important to understand the relationship between a parabola’s features and its equation?