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Analyzing and Graphing the Quadratic Function y = (x - 3)² + 2

In this lesson, we explore the quadratic function y = (x - 3)² + 2. We will identify the domain, range, minimum and maximum values, and determine whether the parabola opens up or down. Additionally, we will analyze intervals of increase and decrease. Resources include a standard form graphic organizer and class examples. We will culminate with a hands-on graphing exercise, where students will graph the function and record its characteristics, including vertex, domain, and range. Share your completed work for review!

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Analyzing and Graphing the Quadratic Function y = (x - 3)² + 2

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Presentation Transcript

  1. Bell ringer: Given y=(x-3)2+2 , describe the following.. Domain: Range: Min/max: Opens up/down: Intervals Increasing/decreasing:

  2. LEQ: • How do you graph a quadratic function in standard form?

  3. Standard form Graphic Organizer

  4. Standard form class examples worksheet

  5. Ticket out the door: Graph the following function on educreation… list the following characteristics along with the graph! SHOW me when you are finished! Characteristics: Function to Graph: Vertex Domain Range

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