On the Graph
When a part of a drawn graph is mirrored or rotated, it has this.
Symmetry
To get a variable, such as y, by itself, a mathematician can apply these to any equation. These may also be known as "what you do to one side, you do to the other."
Inverse operations.
This type of function makes a single, straight line
Linear Function
In the template of y = m(x - h) + k, the k indicates this transformation.
Vertical Translation
When a point on a graph does not include its value, the point is _____. When a point on a graph does include its value, the point is _____.
Open; Closed
Input
This type of function gets its name from its stair-like appearance
Step Function
In the template of y = m(x - h) + k, the h indicates this transformation.
Horizontal Transformation
Sometimes a graph is not large enough for the sheer size of the numbers it represents. A mathematician can use this to essentially skip count on the x-axis and/or the y-axis as needed.
Scale
Example of ___________
As x -> ∞, f(x) -> ∞
End Behavior
This type of function is known for its V-like appearance
Absolute Value Function
A mathematician can tell if a function written as y = m(x - h) + k by this one little thing.
Negative sign before the x
A point where x = 0, usually the center of a nonlinear function
Vertex
This is the point where two functions have the same input and output
Intercept
This type of function's x-variable has an exponent and always has some kind of curve.
Nonlinear Function
In the template of y = m(x - h) + k, the m indicates this transformation.
Dilation
When graphing a function, a mathematician should consider these when drawing it. Examples include x- and y-intercepts, symmetry, end behavior, minima, maxima, increasing/decreasing, and positive/negative.
Key Features
The way to know if an ordered pair is an x-intercept or a y-intercept.
x-int: (x, 0)
y-int: (0, y)
This type of function is actually multiple functions, but only certain sections of them determined by their domain.
Piecewise Function
In the template of y = m(x - h) + k, the h has a unique property that makes its transformation _____________.
Inverted