ALG2.MATH.4.D
Transform a quadratic function f(x) = ax2 + bx + c to the form f(x) = a(x - h)2 + k to identify the different attributes of f(x).
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
quadratic functionstandard formvertex formattributesfunction notationax² + bx + ca(x-h)² + kvertex
Skills
- transform (a quadratic function from standard form to vertex form) #dok2
- identify (attributes of a quadratic function from vertex form) #dok2
- analyze (a quadratic function for key attributes given its form) #dok3
Learning Targets
- I can transform a quadratic function from standard form (f(x) = ax² + bx + c) to vertex form (f(x) = a(x-h)² + k). #dok2
- I can identify the vertex, axis of symmetry, and direction of opening from the vertex form of a quadratic function. #dok2
- I can analyze the different attributes of a quadratic function after rewriting it in vertex form. #dok3
Big Ideas
- A quadratic function can be represented in multiple forms, each highlighting different attributes of its graph.
- Transforming a quadratic function to vertex form makes it easier to identify and analyze key features such as vertex and axis of symmetry.
Essential Questions
- Why might it be helpful to rewrite a quadratic function in vertex form?
- What information about a quadratic function is more clearly seen in vertex form versus standard form?
- How does transforming a quadratic equation into vertex form help you graph it?
- What attributes of the graph of a quadratic function can be directly identified from vertex form?
- How does each parameter in the vertex form relate to the graph's features?