This week in Math 2...
MondayGraphing Quadratics (by hand)
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TuesdayTransforming Quadratic Functions
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WednesdayQuadratic Word Problems
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ThursdayQuadratic & Linear Systems
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FridayQuadratic & Linear Systems
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Graphing A Quadratic FunctionBy either factoring or using the quadratic formula, you can identify the "roots"/zeroes/solutions/x-intercepts of the function [f(x)=0]. Quadratic graphs are "u"-shaped, called a PARABOLA. Parabola's are symmetrical, and because they are we know that the vertex (lowest/highest point of graph, where it changes direction) must lay exactly in between. Calculate the distance between the x-intercepts and divide in half to find the x-coordinate of the vertex. Substitute that value of x into the function to evaluate for the y-coordinate at the vertex.
Use the key points of x-intercepts and vertex with your knowledge of the general shape of parabolas to sketch a graph. |