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aalyn [17]
3 years ago
5

Find a transformation of sin(x) that gives the following a. b.

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
4 0

Answer:

a) f(x) = 3sin(2x - π/2) + 1

b) f(x) = 2sin(2x + π) + 2

Step-by-step explanation:

∵ f(x) = Asin(Bx - C) + D

Where ΙAΙ is the the amplitude , 2π/ΙBΙ is the period , -C/B is the horizontal shift and D is the vertical shift

a) The amplitude is 3

   The period is π

    Shift phase: horizontally π/4 to the right , vertically 1 unit up

b) The amplitude is 2

   The period is π

    Shift phase: horizontally π/2 to the left , vertically 2 unit up

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Solve the system of equations:
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(-1,-2) \:  \:  \:  \:  \: and \:  \:  \:  \:  \: (3,6) \\ Answer: A

Step-by-step explanation:

y = 2x \\ y =  {x}^{2}  - 3 \\  \\ 2x =  {x}^{2}  - 3 \\  {x}^{2}  - 2x - 3 = 0 \\ (x + 1)(x - 3) = 0 \\ x + 1 = 0 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x - 3 = 0 \\ x =  - 1 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x = 3

When x = -1

Substitute x = -1 into y = 2x

y = 2(-1)

y = -2

( -1, -2)

When x = 3

Substitute x = 3 into y = 2x

y = 2(3)

y = 6

( 3, 6)

5 0
3 years ago
What are two decimals that can be rounded to 4.26
Andrew [12]
In rounding, a number must be 5 or more to round up, and 4 or less to round down.

To round up to 4.26 you would need a number between 4.255 and 4.264

4.258 and 4.261 are two examples

8 0
4 years ago
What is 56/108? they are even numbers so they can be simplified but I don't know how to do it right.
Andrews [41]
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3 0
3 years ago
Read 2 more answers
3/4 picked apples. If 120 students picked apples, how many picked bananas
Oxana [17]

Answer:

40 students picked bananas

Step-by-step explanation:

3/4 picked apples    

1 - 3/4 = 1/4 picked bananas

3/4x = 120

Multiply both sides of the equation by 4/3

4/3 * (3/4x) = 120/1 * (4/3)

x = 480/3

x = 160

                                               Total of 160 students

                                               /                                   \

                                   120 = apples                  160 - 120 = 40 = bananas

40 students picked bananas

Hope this helps :)

6 0
3 years ago
Read 2 more answers
Simplify -1/4m + 5/6 +3/8m - 2/3 <br><br><br><br><br> HURRYYY PLEASE !!!!
sukhopar [10]

3/8 m - 1/4 m + 5/6 - 2/3

3/8 m - 2/8 m + 5/6 - 4/6

<u>1/8 m</u><u> + </u><u>1/6</u>

4 0
3 years ago
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