2.7 Graphing Absolute Value Functions

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Presentation transcript:

2.7 Graphing Absolute Value Functions The absolute value function always makes a ‘V’ shape graph.

2.7 Graphing Absolute Value Functions Do you notice any patterns or rules to transform a function left or right? Horizontal Translation: f(x - h) shifts to the right f(x + h) shifts to the left Using your rule, sketch the following problems.

2.7 Graphing Absolute Value Functions Write an equation for each graph.

2.7 Graphing Absolute Value Functions Do you notice any patterns or rules to transform a function up or down? Vertical Translation: f(x) + k shifts up f(x) - k shifts down Using your rule, sketch the following problems.

2.7 Graphing Absolute Value Functions Write an equation for each graph.

2.7 Graphing Absolute Value Functions Reflect graph across the x-axis: f(x) flips the graphs Shifts 3 to the right Shifts 2 to the left Shifts 3 to the left Shifts 2 up Shifts 1 up Shifts 2 down Reflect over x-axis Reflect over x-axis