Question

http://prntscr.com/ntk6ph

Answer 1

@Narad

Answer 2

Question nº39

The parent function is
\[y=\sqrt{x}\]

The new function is
\[y=\sqrt{x+2}\]
This new function is a horizontal shift by 2 units to the left

The answer is option C

Answer 3

Question nº 40

The parent function is
\[y=\sqrt{x}\]
The new function is
\[y=\sqrt{4(x-1)}=\sqrt{4x-4}\]
The answer is option A

Answer 4

http://prntscr.com/ntlfpc

Answer 5

@Narad

Answer 6

@Vocaloid

Answer 7

Nicole than you see the graph and hope you know that y = f(x) = ... is the standard form

so given that when x=1 what mean that y= f(1) = ?

please check the graph and you can giving the right answer from there when x= 1 so y = ?

hope helped

Answer 8

2?

Answer 9

@Narad any input?

Answer 10

When x=1, the value of y=-1

Answer 11

http://prntscr.com/ntmbm2

Answer 12

Question nº49
An inverse variation is
\[y=k/x\]
When y=50 and x=4
The value of k is
\[k=yx=50*4=200\]
The answer is option D

Answer 13

question nº50
A direct variation is
\[y=kx\]
When y=45 the value of x=5
Therefore,
\[k=y/x/=45/5=9\]
so,
\[y=9x\]
The answer is option A

Answer 14

Okay

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Answer 15

The parent function is
\[y=1/x\]
The new function is
\[y=1/(x-h)\]
the value of h moves the graph horizontally
the answer is TRUE

Answer 16

Question nº55
The parent function is \[y=1/x\]
The new function is
\[y=-1/(x-1)-10\]
The minus one is the reflection in the x-axis, the -1 moves the graph one unit to the right and -10 moves10 units down
The answer is option D

Answer 17

Okay

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Answer 18

The function is
\[y=1/(x+5)+7\]
The domain is All real numbers except -5
Therefore, writing x in terms of y
\[1/(x+5)=(y-7)\]
\[x+5=1/(y-7)\]
\[x=1/(y-7)-5\]
The range is All real numbers except y=7
The answer is option C

Answer 19

Okay

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Answer 20

looking at the graph,

when x= -1

y= 4

the answer is FALSE

Answer 21

okay

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Answer 22

The parent function is
\[y=2^x\]
The new function is
\[y=2^{x-4}\]
This is a horizontal shift by 4 units to the right
The answer is FALSE

Answer 23

okay

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Answer 24

If you have the function
\[y=logx\]
When x=1, y=0
This is not the cae here
The graph shown is
\[y=logx +1\]
The answer is FALSE

Answer 25

okay

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Answer 26

The parent function is
\[y=logx\]
The new function is
\[y=\log(x-h)\]
and
\[h<0\]
The new function is translated horizontally by h units to the LEFT
The answer is FALSE

Answer 27

okay

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Answer 28

The parent function of this graph is
\[y=logx\]
When x=0, y=-4
The graph is translated horizontally to the left by 1 unit
And vertically by -4 units
Therefore, the equation of the graph is
\[y=\log(x+1)-4\]
The answer is option A

Answer 29

http://prntscr.com/ntmpjo

Answer 30

From the graph, when x=0

y=-1.8
The answer is FALSE

Answer 31

okay

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Answer 32

The cosine of an angle is by definition equals to

= (adjacent side)/(hypotenuse)

In the right angle triangle XYZ

cosX=YX/ZX = z/y

The answer is option B

Answer 33

okay

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Answer 34

The tangent of an angle is

=(opposite side)/(adjacent side)

In the right angle triangle ABC

tanA =(BC)/(AB)=15/20=3/4

The answer is option B

Answer 35

Got it

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Answer 36

The cosine of an angle is

=(adjacent side)/(hypotenuse)

In the right angle triangle ABC, we have

CosA= AB/AC=20/25=4/5

The answer is option A

Answer 37

okay

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Answer 38

By definition, an angle of 180º is equal to \[\pi\] radians

And an angle of 360º is equal to \[2\pi \] radians

The answer is FALSE

Answer 39

Okay

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Answer 40

The tangent of the angle is
\[tanA= 0.29\]
Therefore,
The angle is
\[A=\tan ^{-1}(0.29)=16.17º\]
From my calculator
The answer is option C

Answer 41

Okay

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Answer 42

The sine of the angle is
\[sinA=2/4=1/2\]
From the unit circle, we know that
A=30º
The answer is option B

Answer 43

Got it

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Answer 44

The triangle is right angle triangle XYZ

\[tanX=YZ/XZ\]

\[\tan50º=YZ/4.5\]

\[YZ=4.5\tan50º\]
From my calculator
\[YZ=5.36\]
The answer is option A

Answer 45

http://prntscr.com/ntmyuz

Answer 46

By the Pythagoras theorem,

Let the side =x ft

\[x^2+x^2 =8^2=64\]
\[2x^2=64\]
\[x^2=32\]
\[x=\sqrt{32}=5.66ft\]
The answer is option B

Answer 47

Question nº66
Again, by Pythagoras theorem
\[x^2+x^2=2x^2=25^2=625\]
\[x=\sqrt{625/2} =17.68\]
The answer is option A