Functions,+Transformations+and+Symmetry

 __**Functions**__: (def) y as a function of x: means y is determined by x __**Inverse Functions**__: switch x and y coordinates and then graph it
 * NOTE: if the graph passes the __Vertical Line Test__ then it is a function
 * NOTE: if the graph passes the __Horizontal Line Test__ then it is a function

Reflection:(def) The graph of y= -f(x) is a reflection in the x-axis of the graph y=f(x)

__**Translations**__ y= f(x)+k -- translates the graph up k y= f(x)-k -- translates the graph down k y=f(x+h) -- translates the graph left h y=f(x-h) -- translates the graph right h y=2f(x) -- stretches the graph by 2 y=(1/2)f(x) -- shrinks the graph by 2
 * Up and Down
 * Left and Right
 * Stretching and Shrinking

(Horizontal, Stretch, Reflect, Vertical)
 * REMEMBER: __H__IGH __S__CHOOL __R__ __V__ !!!!**

[|Symmetry Link]
 * __Symmetry__ **
 * y-axis: if f(-x) = f(x) Replace x in the equation with (-x). Solve the equation. If the answer is the same then the y-axis is even.
 * origin: if f(-x) = -f(x) Replace x in the equation with (-x). Solve the equation. If you get a different answer then the origin is odd.