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Glue in note and use the graph to determine the following
1.
f(-2)=
f(0) =
f(1/2) =
4;
6;
0
f(2)= 3
Warm up 8/20
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) = -1
x= 4
f(x) = 4
x= 0,1.5
Be seated before the bell rings
DESK
homeworkWarm-up (in your notes)
Quiz – Tuesday 8/12
Agenda:
WarmupTest re-takes
Note 1.9
NotebookTable of content
Page1
1
1) 1-1 Sets of Numbers /1.2 Properties of Numbers
1.9 parent functions
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
Is the simplest function with a certain characteristics.
x
y
Parent Functions
1. Constant: 1. Constant: f(x) = cf(x) = c 2) Linear : 2) Linear : f(x) = xf(x) = x
Put it all together - Fill in the blank
f(x) represents a function. What happen when we do the following?
y = f (x) + c _______________________________
y = f (x) - c _______________________________
y = f (x - c) ________________________________
y = f (x + c) _______________________________
y = f (-x) ________________________________
y = - f (x) __________________________________
3y x Shift up c units
Shift down c units
Shift right 3 units
Shift left 3 units
Reflects about the y-axis
Reflects about the x-axis
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
f(x) = - (x + 3)2 - 4
Draw what you think this function’s graph looks like without a calculator