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Oliga [24]
3 years ago
5

A trig function given below. Describe the transformations from

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

Parent function: y = sin(x)

Transformations:

1) horizontal translation of pi units towards left

2) stretch parallel to y-axis with factor "2'

3) vertical translations of 1 unit downwards

Range: [-3 , 1]

Step-by-step explanation:

Parent function: y = sin(x)

Transformations:

1) horizontal translation of pi units towards left

2) stretch parallel to y-axis with factor "2'

3) vertical translations of 1 unit downwards

Sketch the graph using 5 points listed below:

1) (0, -1)

2) (pi/2, -3)

3) (pi, -1)

4) (3pi/2, 1)

5) (2pi, -1)

Range: [-3 , 1]

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Jacob has 4 balloons. 
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The volume of 400 mL of chlorine gas at 400 mm Hg is decreased to 200 mL at constant temperature. What is the new gas pressure?
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A. Let us first assume that the gas acts like an ideal gas so that we can use the ideal gas equation:

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3 years ago
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saul85 [17]

Answer:

Step-by-step explanation:

every time x goes up 1,  y goes up 4  

x = 3  minus x = 2  is a delta (a change of 1)

x = 4  minus x = 3  is a delta (a change of 1)

x = 5  minus x = 4  is a delta (a change of 1)

       the delta x is ALWAYS 1 for this table you can always substract x's to find the delta     delta is symbolized by Δ      Δx  for the delta x

y = 7  minus y = 3  is a delta (a change of 4)

y = 11  minus y = 7  is a delta (a change of 4)

y = 15  minus y = 11  is a delta (a change of 4)

    the delta y is ALWAYS 4 for this table you can always substract y's to find the delta     delta is symbolized by Δ     Δy  for the delta y

the slope m = Δy / Δx      m = 4 / 1     m = 4

     y = mx + b             when x = 0    then  y = b   (called the y intercept)

so how do we find the y intercept?    

look at the pattern in the TABLE  Δx  and Δy

   when x = 1    y = (3 - 4)  = -1

             x = 0    y =( -1 - 4)   = -5

so       y = 4x - 5     is a line equation for the data in this table

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                               I chose the y-intercept form

use the point slope equation

       (y - y1)  =  m(x - x1)            where (x1, y1)  are the coordinates of a point on  

                                                the line

       when you know the slope of the line and a point on the line

       as before

       m = (y2 - y1)  / (x2 - x1)          from the table

           = (7 - 3) / (3 - 2)                 still equals

           = 4/1  =  4        

        pick a point on the line    say x= 4 and y = 11    (4, 11)

       (y - y1)  =  m(x - x1)    

        y - 11   =   4(x - 4)              point slope form

         solving point slope form  for  y

        y  - 11  =   4x - 16               add 11 to both sides    

           y  =  4x - 5                    back to the y-intercept form

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3 years ago
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Answer:

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