Parts of a Sqrt Function
Pythagorean Theorem
Graph it
Simplify
Whats the Sqrt?
100

What is the parent function of a Square root function?

y=√ (x)

100

A triangle has legs of 6 and 8. What is the length of the hypotenuse?

10

100

What is the distance between the points

(2, 2) & (2,4) ?

2 units

100

√ (136)

2√ (34)

100

√ (36)

6

200

How does the graph of 

y=√ (x) - 4 compare to 

y=√( x)?

Translates it 4 units down.

200

A triangle has legs of 4 and 7. What is the length of the hypotenuse?

√(65)

200

What is the distance between the points

(-6, -10) & (-2,-10) ?

4 units

200

√ (76)

2√ (19)

200

√ (144)

12

300

How does the graph of 

y=√ (x+2) compare to 

y=√ (x)?

Translates it 2 units left.

300

A triangle has a hypotenuse of 17 and a leg of 8. what is the length of the other leg?

15

300

What is the distance between the points

(10, 1) & (9,-4) ?

√(26)

300

√ (196)

14

300

√ (225)

15

400

What does a -a do to a graph?

Reflects across the x-axis

400

A triangle has a hypotenuse of 30 and a leg of 7. what is the length of the other leg?

√(851)

400

What is the distance between the points

(-8, 10) & (-6,7) ?

√(13)

400

√ (350)

5√ (14)

400

√ (400)

20

500

How does the graph of 

y=√ (x - 2) + 3 compare to 

y=√ (x)?

Translates it right 2 units and up 3.

500

A triangle has a hypotenuse of 24 and a leg of 6. What is the length of the other leg?

6√ (15)

500

What is the distance between the points

(3, 8) & (9,10) ?

2√(10)

500

√ (840)

2√ (210)

500

√ (529)

23