Square Root Functions

Parts of a Sqrt Function

100

What does +k do to a graph?

Shifts up k units

200

What does a -h do to a graph?

Shifts left h units

300

What does a -a do to a graph?

Reflects across the x-axis

400

What would a -x do to a graph?

Reflect on the y-axis

500

What is the parent function of a Square root function?

y=sqrt(x)

Describe how sqrt(x) is shifted/changed

100

y = sqrt(x - 4) +3

Shift right 4 and up 3

200

y = sqrt(x + 2) +5

Shift left 2 and up 5

300

y = 2sqrt(x) -1

Vertical stretch and shift down one

400

y = -.5*sqrt(x -6) - 2

Reflect over x-axis and vertical compression and shift down 2

500

y = 3sqrt(-x +3) -1

Vertical Stretch, reflect across y axis and down 1

Reduce the radicand

100

sqrt(136)

2sqrt(34)

200

sqrt(76)

2sqrt(19)

300

sqrt(196)

14

400

sqrt(350)

5sqrt(14)

500

sqrt(840)

2sqrt(210)

Find the vertex (h,k)

100

2*sqrt(x-6) + 3

(6,3)

200

-5*sqrt(x+5) 

(-5, 0)

300

sqrt(3x + 9) + 1

(-3, 1)

400

4sqrt(8x - 16) + 4

(2, 4)

500

sqrt(-2x+4) - 7

(2, -7)