Day 3 What is an equivalent form of the following function? f(x) = 3(x – 2)2 + 4 x2 – 4x x2 + 8 3x2 – 4x + 8 3x2 – 12x + 16 2 minutes.

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Day 3 What is an equivalent form of the following function? f(x) = 3(x – 2)2 + 4 x2 – 4x x2 + 8 3x2 – 4x + 8 3x2 – 12x + 16 2 minutes

Domain and Range Objective: SWBAT identify the domain of a quadratic function given a graph or real life application. (2.1.b.ii) CCSS: F-IF.5 DOL: Given 2 multiple choice and 1 CR, sw identify the domain and range of a quadratic function with 100% accuracy

Vocabulary Domain: All possible input values, x values. Parabola always getting wider therefore the domain is always (-∞,∞) Range: All possible output values, y values. Since we have minimum or maximum point the y-value always limited To help students, may help to talk about range like a mountain range

Graphs: Notes Find the domain and range from the following graph: (-∞, ∞ ) Range: (-∞, 4] Ask how this graph is different from the last graph? **Using different notation**

Graph: Sage and Scribe (Person with darker shirt) Find the domain and range of the following graph: Domain: ____________ Range: ___________

Graph: Sage and Scribe (Person with lighter shirt) Find the domain and range from the following graph: Domain: ___________ Range: ___________________

Another way to write it… Find the domain and range from the following graph: Domain: (-∞, ∞) Range: [-2, ∞) Explain how it’s the same. Maybe show how it translates to other way

Your turn… Whiteboards Find the domain and range from the following graph: Domain: _______________ Range: ________________

Summary From a graph, you can find domain by… From a graph, you can find range by… From an equation, I can find domain by… From an equation, I can find range by…

DOL #2 State the domain and range of the following graph using words: