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Test 13 Review

Functions and Transformations

Function A relationship between two quantities in which each input value has ONLY ONE output value
Domain The set of all input values of a function (x - values)
Range The set of all output values of a function (y-values or f(x) values)
Vertical Line Test draw vertical lines over a graph and if the lines only intersect the graph once, it is a function. If any lines intersect the graph more than once, it is not a function
Function Notation Change y to f(x); for example, y = 2x would change to f(x) = 2x
General Equation of a Linear Function f(x) = mx + b; m = slope, b = y-intercept
Slope Change in y (or f(x)) over change in x; the letter m in f(x) = mx + b
y-intercept The y-value of the point where the graph crosses the y-axis; (0, ?) ? is the y-intercept; the letter b in f(x) = mx + b
Line Symmetry Exists when a line can be drawn that splits the figure into two halves that are mirror images of each other.
Point Symmetry Exists when an object looks exactly the same when turned upside down (rotated 180 degrees); point symmetry is a type of rotational symmetry
Rotational Symmetry Exists when an objects looks exactly the same when turned less than 360 degrees
Reflection A transformation that flips a figure over a given line to create a mirror image. When you reflect in the x-axis, the ordered pair changes from (x, y) to (x, -y). When you reflect in the y-axis, the ordered pair changes from (x, y) to (-x, y)
Translation A transformation that slides a figure to a new location. The numbers next to T describe the slide. For example, T(2,-1) represents a slide two units to the right and 1 unit down
Dilation A transformation that reduces or enlarges a figure by a given scale factor (the number next to D); dilation = multiplication
Linear Equation y = mx + b. m = ? b = ? m = slope and b = y-intercept
Created by: Math7