# Starter Duane has a job counting bacteria in water samples In 12 ml he counted 634 bacteria In 18 ml he counted 864 bacteria Write the equation for a linear.

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Starter Duane has a job counting bacteria in water samples In 12 ml he counted 634 bacteria In 18 ml he counted 864 bacteria Write the equation for a linear model How many bacteria in 20 ml How many ml to get 1000 bacteria

Algebra II Chapter 2 Section 5 When it positively absolutely has to be an absolute value

Absolute value  Everything inside the | | brackets has to be +  Treat them like ( )  Do everything inside first… then make + then do everything outside

F(x) = | x |  When x > 0 looks like f(x) = x  When x < 0 looks like f(x) = -x  When x = 0 is called the vertex

f(x) = |mx + b| + c  Find the vertex with ( -b / m, c)  To the right of the vertex graph y = mx + b + c  To the left of the vertex graph y = -(mx + b) + c

Make a table  Find the vertex using ( -b/m, c)  Select 3 values to the left and 3 values to the right of the vertex  Make a table of values  Graph both the ordered pairs  Connect the dots, it should make a V

Up or down  |mx + b| V is normal  -|mx+b| V is upside down

Linear equations  Isolate |mx + b |  Separate into mx + b >0, -(mx + b) < 0  Graph each equation over the appropriate domain

Graph y = |x-3| + 5 y = |x-3| + 5 y - 5 = |x-3| Where x - 3 > 0 y - 5 = (x-3) y - 5 = -(x-3) y - 5 = x - 3 y - 5 = -x + 3 y = x + 2 y = -x + 8

Do Now Page 88 Problems 1-9 odd Problems 19 – 49 odd

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