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Warm up 8/20 Glue in note and use the graph to determine the following f(0) = 4; 1. f(1/2) = 6; f(-2)= 0 f(2)= 3 Go backwards Which x gives you outputs of f(x) = 3 x= 2, -1/2, f(x) = 1 x= 3, -1.5,-3.75 f(x) = 4 x= 0,1.5 f(x) = -1 x= 4 Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda: Warmup Test re-takes Quiz – Tuesday 8/12 Note 1.9 Notebook 1 Table of content Page 1) 1-1 Sets of 1 Numbers /1.2 Properties of Numbers 2) 1-3 Square Roots 3) 1-4 Simplify Algebra Expression 4) 1.6 Relations/1.7 functions 5) 1.9 Parent Functions 1.9 parent functions 1.9 Parent Functions Is the simplest function with a certain characteristics. x Parent Functions y 1. Constant: f(x) = c 2) Linear : f(x) = x Put it all together - Fill in the blank f(x) represents a function. What happen when we do the following? Shift up c units y = f (x) + c _______________________________ Shift down c units y = f (x) - c _______________________________ Shift right 3 units y = f (x - c) ________________________________ Shift left 3 units y = f (x + c) _______________________________ Reflects about the y-axis y = f (-x) ________________________________ Reflects about the x-axis y = - f (x) __________________________________ y x3 Put it all together - Fill in the blank f(x) represents a function. What happen when we do the following? y = af (x) + c if a is a number between 0 and 1( a fraction ) it stretches the graph horizontally making it wider. if a is greater than 1, then it compresses the graph. Making it taller. Draw what you think this function’s graph looks like with out a calculator Draw what you think this function’s graph looks like without a calculator Draw what you think this function’s graph looks like without a calculator f(x) = - (x + 3)2 - 4