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6.5 - Graphing Square Root and Cube Root

Functions

Ex 1 Graph

x y

0 1 4 9

0

1

2

3

Domain of f(x) ? _____________________ Range of

f(x)? _____________________ For square root

functions, is the _____________

function.

parent

Ex 2 Graph

Transformations Domain of g(x)?

___________ Range of g(x)? ___________

Right 3

Ex 3 Graph

Transformations Domain of h(x)?

__________ Range of h(x)? __________

up 3

Graph

Transformations Domain of f(x)?

__________ Range of f(x)? __________

Down 2, left 5

Graph

Transformations Domain of g(x)?

__________ Range of g(x)? __________

Down 4, left 2, reflect in x-axis

Graph

Transformations Domain of h(x)?

_________ Range of h(x)? _________

Up 1, right 3, reflect in x-axis

Given the form ,

describe how a, h and k affect the shifting of

______________________________________ _______

_______________________________

When a is negative, reflect x axis

h Left or right

h Up or Down

(h, k)

Starting point

Graph

x y

8 1 0 1 8

2

1

0

1

2

Domain of f(x) ? _____________________ Range of

f(x)? _____________________ For square root

functions, is the _____________

function.

parent

Ex 5 Graph

Transformations Domain of g(x)?

___________ Range of g(x)? ___________

left 2, up 3

Graph

Transformations Domain of f(x)?

__________ Range of f(x)? __________

Up 2, reflect in x-axis

Graph

Transformations Domain of g(x)?

__________ Range of g(x)? __________

Right 4, reflect in x-axis

Graph

Transformations Domain of g(x)?

__________ Range of g(x)? __________

Right 2, down 1

Given the form ,

describe how a, h and k affect the shifting of

______________________________________ _______

_______________________________

When a is negative, reflect x axis

h Left or right

h Up or Down

(h, k)

Starting point

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