# data[].attributes.headline
constant c determines a horizontal transformation along the x-axis of the parent function

# data[].attributes.subject
constant c determines a horizontal transformation along the x-axis of the parent function

# data[].attributes.headline
Adding the constant "c" causes the parent function to transform along the x-axis by the value of -c.

# data[].attributes.subject
Adding the constant "c" causes the parent function to transform along the x-axis by the value of -c.

# data[].attributes.body
The graph shifted from signum's cousin parent function to the reciprocal function when the constant "d" was added.

# data[].attributes.body
Adding the constant c determines a horizontal transformation along the x-axis according to the value of -c.

# data[].attributes.headline
Adding a constant "d" can create a vertical shift which changes the output of the function. Positive constant results in an upwards shift while a negative constant is a downward shift. 

# data[].attributes.subject
Adding a constant "d" can create a vertical shift which changes the output of the function. Positive constant results in an upwards shift while a negative constant is a downward shift. 

# data[].attributes.body
Adding constant 'd' and changing its value created a vertical transformation/shift. Only the y values appear to be affected.

# data[].attributes.headline
constant d determines a vertical transformation along the y-axis of the parent function

# data[].attributes.subject
constant d determines a vertical transformation along the y-axis of the parent function

# data[].attributes.body
adding the constant "c" to the inside of the function causes the graph to move along the x-axis

# data[].attributes.body
The constant "c" shifted the graph from an absolute value parent function to a square root function.

# data[].attributes.body
Its changes the way that the function moves along the x-axis

# data[].attributes.headline
Adding the constant "d" causes the parent function to transform along the y-axis by the value of d.

# data[].attributes.subject
Adding the constant "d" causes the parent function to transform along the y-axis by the value of d.

# data[].attributes.body
The constant of d it changes the way that the functions moves up the y-axis

# data[].attributes.body
Adding a constant "c" to the function changes the parent function to have a transformation along the abscissa.

# data[].attributes.headline
Constant d means its a transformation over the y axis I think

# data[].attributes.subject
Constant d means its a transformation over the y axis I think

# data[].attributes.body
adding constant 'c' changes the origin of the function, but only on the x axis. As c becomes negative, the graph moves right, as c becomes positive, it moves left.

# data[].attributes.body
Adding the constant d caused a shift changing the value of the function resulting in either an upward or downward shift.

# data[].attributes.headline
adding the constant d will change the range in most cases

# data[].attributes.subject
adding the constant d will change the range in most cases

# data[].attributes.body
adding the constant "d" to the outside of the function causes the graph to move along the y-axis

# data[].attributes.body
The higher the b value (in accordance to 0 < B < 1) affects how 'tight' the slope is?

# data[].attributes.body
If the "b" value is high then if shows by making the slope skinnier  or lower is bigger.

# data[].attributes.body
from what I can remember both constants "a" and "b" affect the scale of a graph, in its appearance and also location. "a" directly affects the y-value, and "b" directly affects the x-value. -a:the function is flipped, -b:the function is stretched? A affects the vertical scale (I think?) and b affects the horizontal.

# data[].attributes.body
When a is negative, the parent function reflects over the new reference point/rotates. I am not sure how to explain
The larger a is, the further from the reference point the graph becomes

# data[].attributes.body
A higher 'A' value makes the function broader as the value increases? And negative 'A' just flips the function upside down, so reflect over x.

# data[].attributes.headline
I think we were having a problem with geogebra.

# data[].attributes.subject
I think we were having a problem with geogebra.

# data[].attributes.body
The higher the b value the narrower the function and with a lower b value the function will become wider.

# data[].attributes.body
The b determines where the function will cross the y-intercept. When negative, the y-int is negative

# data[].attributes.body
A negative a value will reflect the function over the x-axis  and a larger a value makes the function wider as a whole.

# data[].attributes.body
The vertex of the graph changes as the value of "a" changes. "A" effects the vertical scale of the graph.  A negative a value results in a vertex where the y value is positive and a positive a value results in a vertex where the y value is negative. This holds true for all real values excluding 1.

# data[].attributes.body
Having a constant "a" outside of the parent function causes the vertex to change as the value changes. As "a" gets closer to zero the graph gets closer to the x value of x=0 and as it becomes greater the graph shifts further from x=0.

# data[].attributes.body
When there is a constant "a" on the outside of the equation changes the y-intercept again and the numbers indicate how many points there are on the graph ?

# data[].attributes.body
having a constant 'a' outside the graph messed with the vertical scale of the graph when a=R>1 or -a=R>1. Negative 'a' does the opposite of what we think

# data[].attributes.body
having a constant "a" outside the parent function affects the graph on the y-intercept

# data[].attributes.body
adding a constant "a" outside the function will affect the graph on the y-axis by stretching or compressing it.

# data[].attributes.headline
when there is 'a' constant a outside the parent function  causes a change in the vertex

# data[].attributes.subject
when there is 'a' constant a outside the parent function  causes a change in the vertex

# data[].attributes.body
The y-values on the right side if the x-axis decrease while the y-values on the left side go up.

# data[].attributes.headline
The smaller the value of a, the closer the graph gets to x=0 and vice versa; the greater the a value, the farther the graph moves from x=0

# data[].attributes.subject
The smaller the value of a, the closer the graph gets to x=0 and vice versa; the greater the a value, the farther the graph moves from x=0

# data[].attributes.body
The “b” constant affects the horizontal scale of the graph.

The value of "b" results in a horizontal stretch and or compression along the x axis.

# data[].attributes.body
"a" determines the vertical scale compression/stretch of the parent function

# data[].attributes.body
"b" determines the horizontal stretch/compression of the parent function

# data[].attributes.body
having a constant of "a" changes the y-intercept

# data[].attributes.body
constant "b" affects the graph on the x-axis

# data[].attributes.body
When there is constant "B" it once again affects the X-axis of the graph.

# data[].attributes.body
adding a constant "b" to the function will affect the x-axis of the graph by either stretching or compressing it horizontally

# data[].attributes.body
The constant "b" will cause the graph to horizontally stretch or compress, when "b">1 the graph compresses horizontally and when 0<b<1 the graph stretches horizontally.

# data[].attributes.headline
adding  a constant 'b' will affect the graph on the x axis

# data[].attributes.subject
adding  a constant 'b' will affect the graph on the x axis

# data[].attributes.headline
the value 'b' affects the severity of the slope of the graph

# data[].attributes.subject
the value 'b' affects the severity of the slope of the graph

# data[].attributes.body
A constant 'b' on the outside of the parent function messes with like, the vertical/horizontal compression/stretch

# data[].attributes.body
Depending on how you change "b" the graph either stretches or compresses as the slope changes.

# data[].attributes.body
The constant "a" will cause the function to either vertically stretch or compress, when "a">1 the graph stretches vertically and when 0<a<1 the graph compresses vertically