Different Quadratic Equation Forms PDF
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This document covers different forms of quadratic equations, including vertex form and intercept form. It provides examples of graphing these equations and finding their vertices using Desmos. Students are guided through practice problems.
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Name: Different Quadratic Equation Forms In Unit 2, we learned about parents functions and transformations. The parent function for quadratic equations is 𝑦 = 𝑥 2. The vertex is at (0,0) originally. We used the form 𝑦 = 𝑎(𝑥 − ℎ)2 + 𝑘 to help with transformations. How el...
Name: Different Quadratic Equation Forms In Unit 2, we learned about parents functions and transformations. The parent function for quadratic equations is 𝑦 = 𝑥 2. The vertex is at (0,0) originally. We used the form 𝑦 = 𝑎(𝑥 − ℎ)2 + 𝑘 to help with transformations. How else could we write an equation for the quadratic? 1. Use your knowledge of this function form to graph the following function without Desmos. When you are done, check your graphs in Desmos. 𝒚 = (𝒙 − 𝟏)𝟐 − 𝟒 Axis of Symmetry: Vertex: How are h and k related to the graph of the equation? 2. We can also write quadratics in the form of 𝑦 = 𝑎(𝑥 − 𝑝)(𝑥 − 𝑞). Graph each of the following functions using Desmos and find its vertex. a. 𝑦 = (𝑥 + 1)(𝑥 − 3) b. 𝑦 = −(𝑥 − 1)(𝑥 + 2) c. 𝑦 = 2(𝑥 − 1)(𝑥 − 3) x-int: x-int: x-int: Axis of Symmetry: Axis of Symmetry: Axis of Symmetry: Vertex: Vertex: Vertex: 3. How are p and q related to the graph of the equation? 4. How could you find the vertex of the function without graphing the function? Forms of Quadratic Equations Finalizing Notes
