Assignment #2 Name: _________________________________________

Section 2.1 USE PENCIL

1. Graph each function using a table of values. Then identify the domain and range.

a) y=√x+6+1 domain

range

b) y=√2(x+3)−4 domain

range

2. Describe in words, all the transformations that have been applied to the base function . State the domain and range of the function by looking at the equation. A sketch may help

a) y=2√ x−3−8 b) y=4√3(x+5)+2

c) y=√−12

(x+4)−3 d) y=−3√x−3+6

x y

x y

3. Graph each function using transformations. Show mapping rule and table of values and state the domain and range. Use original function to find transformed graph

a) y=−3√x+4+5 b) y=√−2(x−6)−4

mapping rule mapping rule

DomainDomain

Range Range

4. Write the radical function that results from applying each set of transformations to the graph

a) VE by a factor of 3, reflection in the x axis, a translation of 4 units right and 2 units up.

b) HC by a factor of , reflection in the y-axis, a translation of 5 units left and 3 units down.

c) VE by a factor of 2, HE by a factor of 2, translation 4 units left and 1 unit up.

d) VE by a factor of 3, HC by a factor of , reflection in the x-axis, and translation 6 units left.

x yx y

5. Explain in words how to transform the graph of to obtain the graph of each function. ( Put equation

in factored form before describing specific transformations ) BE CAREFUL!!!

a) b) c)

6. Match each function with its graph

a) b) c)

Do Page 72#3, #4

7. Write the equation of the following radical functions use the form y=a√b(x−h)+k . Only need one equation for each.

a) b)

Part 2: Assignment

1. Write the equation of the following functions using the form y=√x−h+k__________________

___________________

___________________

2. For each point on the graph of y=f ( x ) determine the corresponding point on the graph y=√ f ( x ), if it exists. Round answers to the nearest tenth, if necessary.

a) (8, 0) b) (6,- 36) c) (5, 20) d) (4, 25)

3. Graph the function y=−x+8 and then sketch the graph of y=√−x+8 State the domain and range of each function

y= f ( x ) D:

R:

y=√ f ( x ) D:

R: Invariant points: _________ ___________

5. Graph the function y=−x2+4 and then graph y=√−x2+4 State the domain and range of each function

Invariant points: _________

___________

_________

___________

y= f ( x ) D:

R:

y=√ f ( x ) D:

R:

6. Graph of function y=x2−9 is given, graph y=√x2−9

State the domain and range of each function

Invariant points: _________

___________

_________

___________

D:

R:

D:

R: