Chapter2B

The graph y-f(x) is the same as the graph of

y=f(x) reflected over the x-axis

The graph y=f(-x) is the same as the graph of

y=f(x) reflected over the y-axis

If |a|>1, then the graph is

Skinnier, more narrow, stretched

If 0<|a|<1, then the graph is

Wider

y=|x|-3

Translated down 3

y=|x|+2

Translated up 2

y=|x+2|

Translated left 2

y=|x-3|

Translated right 3

y=3x+2

Linear function

y=x

Identity function

y=4

Constant function (Horizontal)

y=x²

Quadratic function (Parabola)

x=y²

Quadratic function (Sideways parabola)

y=x³

Cubic function

y=|x|

Absolute value function

x=|y|

Side ways V

y=1/x

Rational function (parts/branches)

y=2^x

Exponential function

y=radical x

Square root function

y=3 rad x

Cube root function