Transformations of Graphs Flashcards
The graph y = f(x) + a is a transformation of…
A translation of y =f(x) in the y-direction
The graph y = f(x + a) is a transformation of…
A translation of y =f(x) in the negative x-direction
What is an asymptote?
A value of x that would cause the function to be divided by zero
What happens to asymptotes when you translate a function?
They are also translated
The graph y = af(x) is a transformation of…
A stretch of the graph y=f(x) in the y-direction by a scale factor of a
The graph y = f(ax) is a transformation of…
A stretch of the graph y=f(x) in the x-direction by a scale factor of 1/a
What happens to asymptotes when you stretch a function?
Nothing!
The graph y = -f(x) is a transformation of…
Reflection of the graph y=f(x) in the x-axis
The graph y = f(-x) is a transformation of…
Reflection of the graph y=f(x) in the y-axis
What are reciprocal graphs
Graphs in the form y = k/x or y=k/x^2
