Chapter 4: Graphs and Transformations Flashcards
Formula for a cubic graph
F(x) = Ax^3 + Bx^2 + Cx + D
Formula for a quartic function
F(x) = Ax^4 + Bx^3 + Cx^2 + Dx + E
What will the function y= f(x)+a do to the graph?
It will move the graph vertically by the value of a
What will the function y= f(x+a) do to the graph?
It will move the graph horizontally to -a
What will the function y= af(x) do to the graph?
It will stretch the graph by the value of a vertically.
What will the function y= f(ax) do to the graph?
It will stretch the graph by the value 1/a horizontally
What will the function y= -f(x) do to the graph?
It will reflect the graph in the x-axis
What will the function y= (-x) do to the graph?
It will reflect the graph in the y-axis