Algebra 1 Common Core Student Edition, Grade 8-9

4. No; there is no variable in the radicand. 5. The graph
   of y = Vx - 1 is the graph of y = Vx shifted to the
   right 1 unit. 6. Yes; the domain includes all the values
   of x such that the radicand has a value greater than or
   equal to zero, so for b > 0 , the domain of y = Vx + b
   is x > -b, which includes negative values.
   Ex e r c i se s 7.x>0 9. x>7 11.x>-2
   13. x< 18 15. x>4
   fi 0 /
   / / / / X 0

Xm

(^0) 0 ]
[ (^1) 4 I
[ 4 8 I
y
o
X
\
—r-t
h V
00
1 4.4
610.8
V
X y
00
3

5. 3 4
   V y

h > 5.1 m

27. A 29. B
    31. y X
    0

33.

41a. f

P

0 40

47.

X fix)

I 0 0

[ 1 4

[ 2 5. 7

[ 4 8

J

r

X y

( 0^0

( 2 1

( 4 1. 4

I 8^2

49.

51.

X fix)

-2 -4

-1 -3

2-2

X y

-3 1 )

-2 2.4 ]

-1 3 j

(^0) 34 i
y
-ir
X

37. y

r X

0

b. about 45 lb/in.

43. about 2800 m /s


44. fi 0 jf'
    xy
    /f X
    0

y

X

b

• fi i) X
  0

53a. No; the graph does not pass the vertical-line test,

b. The graph of y = V * is the first-quadrant portion of

the graph of x = y 2. c. y = - Vx