Transformations of Graphs (2.6)

Horizontal Line Function

y=c

Absolute Value Function

y=|x|

Linear Function

y=x

Reciprocal Function

y=1/x

Square Function

y=x²

Cubic Function

y=x³

Square Root Function

y=√x

Cubic Root Function

y=∛x

Exponential Function

y=b^x

Logarithmic Function

y=log_b(x)

g(x)=a•f(b(x±c))±d

What is a?

vertical stretch/shrink

g(x)=a•f(b(x±c))±d

What is b?

horizontal stretch/shrink

g(x)=a•f(b(x±c))±d

What is c?

horizontal shift

g(x)=a•f(b(x±c))±d

What is d?

vertical shift