Algebra 1 Common Core Student Edition, Grade 8-9

For any positive number k, graphing y=Vx + k translates the graph of y = Vx up

k units. Graphing y = Vx - k translates the graph of y = Vx down k units.

TKinlc.

Is th is s im ila r to a

problem you've seen

before?

Yes. You have graphed

fu n c tio n s o f th e fo rm

y = |x| + k by

translating the graph of

,= \x\.

Gr ap h i n g a Ver t i cal Tr an sl at i o n

What is the graph of y = Vx + 2?

y

4

i

X

0 t

For the graph o f

y = \ f x + 2,

th e graph o f

y = \fx \5 shifted

2 u n its up.

& G o t It? 3. What is the graph of y = Vx - 3?

For any positive number h, graphing y = Vx + h translates the graph of y = Vx to the

left h units. Graphing y = V x - h translates the graph of y = Vx to the right h units.

Is th e r e a n o th e r

way to solve this

problem?

Yes. You could make a

table o f ordered pairs

th a t satisfy the equation

and then plot them.

Pr o b l em 4 Graphing a Horizontal Translation

What is the graph of y = Vx + 3?

4 y

X

I 0 t

For the graph of

y = \J x + 3,

th e graph o f

y = Vx is shifted

3 u n its to th e le ft.

Got It? 4. What is the graph of y = Vx - 3?

J Lesso n Ch eck

Do y o u k n o w H OW?

1. What is the domain of the function
   y = Vx + 3?

Graph each function.

2. y = 2 Vx


3. y = Vx - 6

MATHEMATICAL

Do yo u UN DERSTAND? PRACTICES

4. Vocabulary Is y = xV5 a square root function?
   Explain.


5. W riting Explain how the graph of y = V x — 1 is
   related to the graph of y = Vx.


6. Reasoning Can the domain of a square root function
   include negative numbers? Explain.

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Po w erAlg eb ra.com j Lesson 10-5 Graphing Square Root Functions 641