Advanced Algebra II Notes 4.5 Reflections and the Square Root Family

Reflection of a Function: A reflection is a transformation that flips a graph across a

line, creating a mirror image. Given the graph of y = f(x):

The graph of y = f(-x) is a reflection across the y-axis.The graph of y = - f(x) is a reflection across the x-axis.

The Square Root Function: xxf )(

X value

0 1 2 4 9

Y value

Graph the functions:

)3()( xxf)3()( xxfxxf )(

d) y is replaced with (y – 2) e) y is replaced with (y + 2)

f) f( -x ) g) - f( x )

Assignment: page 204: 1, 3 – 11