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