# data[].attributes.body
y=sin x
y = 9sin(3x+5)+9
- The 9 in front of the sin would make the amplitude 9
- The 3 in the parenthesis would make it squish
-  The 5 would slide it to the left
- Lastly the 9 makes it slide it up 9

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Sin function: y = sinx

My function: y = -12sin (345x - 67) + 89

~The minus makes the sin flip over the y-axis
~The 12 makes the sin stretch north south by a factor of 12. So, the amplitude is now 12, instead of one
~The 345 multiplying the x would contract the sin east west by a factor of 3. So, the period is now 1/345, instead of 1.
~The 67 subtracting the x would move the sin right 67 units.
~The 89 outside of the parentheses would make the sin move up by 89 units.

# data[].attributes.body
y = sin x
y = -sin(x+4)
^^ This while have a flip going from north to south. Then it will shift to the left 4 units.
y = sin (x-3) + 6
^^ This will shift to the right 3 times. Also, it would shift upwards 6 units.

# data[].attributes.body
y= sin x
y= 6 Sin (x+7) +4
For this transformation the 6 represents the Amplitude, meaning that each peek will move 6 times. The (x+7) means that the graph will move up seven times because it is in  () and because it is a positive number. The plus four outside of the parenthesis will show the graph moving to the left four times because it is a positive number. If we were to flip it which we are not you would just add a negative in front of sin to make it go north and south. But, if you want it east and west you would out the negative in front of the x. in his case there is no flip.

# data[].attributes.body
Y= -4 sin(x+3)+7
The  "-" sign flips the sin over the y-axis
The 4 in front of the sin will change the amplitude
The "X" in the parentheses squishes the sin.
The "+3" moves or slides the graph to the left.
The +7 at the end slides up the sin.

# data[].attributes.body
y=-sin(2x+3.5)+4
In this transformation the minus sign in front of sin will flip the whole function north to south. The 2x inside the parentheses will squish the function. The +3.5 inside the parentheses will move the function to the left by 3.5. Finally the +4 that is on the outside will move the function upwards by 4.

# data[].attributes.body
Y=3SIN(2x+2)
The positive two in the parenthesis will slide it to the left. The '2x' in the equation will squish it. The 3 in front of the sin will multiply the amplitude.

# data[].attributes.body
y= 2(-sin)x+10
The number 2 would make the new amplitude=2 and would squish it. The 10 would translate the graph up by 10. The negative before the sin would flip the graph from north to south.

# data[].attributes.body
y=sin x
y=sin (x+2)
this transformation will shift the graph of sin to the left due to it being positive
y=-sin (x+2)
this will flip the whole graph of sin as well as shift it to the left 2 spaces, it will flip over the y axis because sin is the y value
y= -sin (3x+2)
adding the three in front of the th x will constrict it, thus shrinking it by three, if it were a fraction it would stretch

# data[].attributes.body
y = 4sin(6x+4)-2
The 4 in front of the sine would would change the amplitude to 4.
The 6 in front of the x would squish the function.
The plus 4 inside the parenthesis would move the entire function to the left by 4.
The minus two outside the function would move the entire function down by 2.

# data[].attributes.headline
Transforming a sine function- Dayana Delgado

# data[].attributes.subject
Transforming a sine function- Dayana Delgado

# data[].attributes.body
Y=Sinx
Y=Sin-2x+6
-The plus 6 will move my function up by 6 units
-The negative sign next to the next will flip the function over the y-axis, or in others words southeast by 2 unit

# data[].attributes.body
y=sin(42x)
1) y=sin(42x +1)
The +1 will shift the sine graph to the left by 1 and the 42 will squish the function
2)y=sin(1/42x+1)+99
The 1/4 will stretch the function and the +99 will move the graph up by 99 units

# data[].attributes.body
My Sine Function: y=-sin(4x+3)
So for my sine function it is transformed by a translation and a compression/squish. The (x+3) moves the graph to the left by 3 units. The 4x compresses the graph and changes the period. It does this by dividing the originally period by 4. So the period is now: 90 degrees or pi/2. It will also be flipped over the x-axis, north to south because of the negative sign in front of the sign.

# data[].attributes.headline
Miles's Transformation of a Sin Function

# data[].attributes.subject
Miles's Transformation of a Sin Function

# data[].attributes.body
The initial sin function is y=sinx.
My transformation of this function is y=3sinx-1.  There are two transformations here.

The first is an expansion, which is represented by making the sin into 2sin.  This changes the amplitude of the function's graph.  If plotted on a graph, the curve will change from passing through -1, 0, 1, etc to passing through -3, 0, 3, etc.

The second part of this transformation is a translation, which is represented by subtracting 1 from the 3sinx.  This shifts the entire graph downwards by one point.  Now, instead of passing through -3, 0, 3, etc, it will pass through -2, 0, 2, etc.  The positions of everything else on the graph will not change, however.

Each transformation on its own would result in a different point being passed through, but with this function, we can ensure that the curve of our graph will pass through -2, 0, 2, and so on.