Lesson 5-1 Graphing Absolute Value Functions

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Presentation transcript:

Lesson 5-1 Graphing Absolute Value Functions

Daily Learning Target I will graph and write an equation of an absolute value function I will describe the translation of the graph of an absolute value function.

5-8 Graphing Absolute Value Functions The absolute value function always makes a ‘V’ shape graph.

5.8 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

5-8 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

5-8 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

Notes Graphing an Absolute Value Function x y 2 1 3 4 8 6 4 2 4 6 8 3 4 8 6 4 2 4 Vertex: ( 1, 2 ) 6 Axis of Symmetry: x = 1 8 Slope: up 2, right/left 1

Notes Graphing an Absolute Value Function Graph the function. Vertex: ( -1, 3 ) Axis of Symmetry: x = -1 Slope: down 2, right/left 1

Notes Graphing an Absolute Value Function Graph the function. Vertex: ( 3, 4 ) Axis of Symmetry: x = 3 Slope: up 1, right/left 1

Notes Graphing an Absolute Value Function Graph the function. Vertex: ( 0, 5 ) Axis of Symmetry: x = 0 Slope: up 1, right/left 1

Notes Graphing an Absolute Value Function Graph the function. Vertex: ( 2, 0 ) Axis of Symmetry: x = 2 Slope: up 5, right/left 1

Notes Graphing an Absolute Value Function Graph the function. Vertex: ( 1, -3 ) Axis of Symmetry: x = 1 Slope: down 1, right/left 1

Notes Graphing an Absolute Value Function Graph the function. Vertex: ( 0, -2 ) Axis of Symmetry: x = 0 Slope: down 1, right/left 1

Notes Writing an Absolute Value Function Write an equation of the graph shown. Vertex: ( 3, 0 ) Axis of Symmetry: x = 3 Slope: down 3, right/left 2

Notes Writing an Absolute Value Function Write an equation of the graph shown. Vertex: ( 1, -2 ) Axis of Symmetry: x = 1 Slope: up 1, right/left 1

Note Writing an Absolute Value Function Write an equation of the graph shown. Vertex: ( -2, 2 ) Axis of Symmetry: x = -2 Slope: down 4, right/left 1