Parts of a Sqrt Function
What does +k do to a graph?
Shifts up k units
y = /(x - 4) +3
Shift right 4 and up 3
y = /(x-2) +5
Shift right 2 and up 5
/(136)
2/(34)
/(36)
6
What does a -h do to a graph?
Shifts left h units
y = /(x + 2) +5
Shift left 2 and up 5
y = /(x + 2) - 3
Shift left 2 and down 3
/(76)
2/(19)
/(144)
12
What does a -a do to a graph?
Reflects across the x-axis
y = 2/(x) -1
Vertical stretch and shift down one
y = -2/(x + 2)
vertical stretch, shift left 2
/(196)
14
/(225)
15
What would a -x do to a graph?
Reflect on the y-axis
y = -.5/(x -6) -2
Reflect over x-axis and vertical compression and shift down 2
y = 4/(x - 2) -1
Vertical stretch, shift right 2 and down 1
/(350)
5/(14)
/(400)
What is the parent function of a Square root function?
y=sqrt(x)
y = 3/(-x +3) -1
Vertical Stretch, reflect across y axis and down 1
y = -.75/(x - 1) + 4
Vertical Compression, reflect on x-axis and shift right 1 and up 4
/(840)
2/(210)
/(529)
23