Unit 6: Lesson - Graphing Quadratics

VIDEO LESSON PRACTICE Watch the video and answer the questions throughout. Talking About QuadraticsI recommend you take a screenshot, or copy it into your notebook, of this image for your notes. PARTS OF A PARABOLA Identify the important features of the graph. Refer to any x-intercept as a solution. vertex y-intercept axis of symmetry solution solution SORTING GRAPHS of QUADRATIC FUNCTIONS Use your knowledge of the impact of "a" on the graph of a quadratic to sort the graphs according to whether "a" is positive or negative. You may also use the Desmos calculator to check your answer BEFORE you submit. Positive "a" Negative "a" Matching Graphs to Equations in Standard Form [f(x) = ax^2 + bx + c] What part of theequation did you find most useful in determining its graph? Matching Graphs to Equations in Vertex Form [ f(x) = a(x - h)^2 + k ] In Vertex Form "h" and "k" are the vertex (h, k) of the quadratic. Matching Graphs to Equations in Intercept Form [ f(x) = a(x - p) (x - q) ] In Intercept form "p" "q" are the x-intercepts of the graph. Vertex vs. Intercept Form Why do you think some graphs can be represented by equations in Vertex Form but not Intercept Form? CHECK FOR UNDERSTAND Write the equation for this graph using any of the 3 forms. Challenge yourself to use more than one form! All Done! Thank you for your hard work on this activity. If you want to learn about a graphing "shortcut" then read on! The required portion of this lesson is complete. Introduction 1 Click on the icon next to the title to discover more about the key features of a Quadratic Function and how to match it's table, graph, and equation. PARTS of a QUADRATIC What parts of the assignment were frustrating to you? What would you like me to review in class?