Algebra 1 Common Core Student Edition, Grade 8-9

10-5 Graphing Square Root Functions

Exercises

Find the domain of each function.

46. y = Vx — 5


47. y = Vx + 4
    Graph each function.
    48. y = V x + 6
    49. y = Vx - 8
    50. y = Vx — 2.5
    Ln II $


48. y = 3V x

Quick Review

Graph a square root function by plotting points or

translating the p aren t square root function y = V x.

The graphs of y = Vx + k and y = Vx - k are vertical

translations of y = Vx. The graphs of y = Vx - h and

y = Vx + h are horizontal translations of y = Vx.

Example

What is the graph of the square root function

y = V x - 2?

The graph of y = Vx - 2 is

the graph of y = Vx shifted

2 units right.

10-6 Trigonometric Ratios

Quick Review

You can use the sine, cosine, and tangent ratios to find the

m easurem ents of sides or angles of right triangles.

opposite leg

Exercises

Find the trigonometric ratios for LA.

sin A =

cost! =

tan A =

hypotenuse

adjacent leg

hypotenuse

opposite leg

adjacent leg

54.

_d

12

Example

What are the trigonometric ratios of angle A?

3 = 3 V l3

Vl3 13

2 2 V T 3

1

sin A

cos A =

n/13

Suppose a right triangle ABC has right angle C. Find the

measures of the other sides to the nearest tenth.

56. length of AB = 12, measure of LA = 34°


57. length of AC = 8, m easure of LB = 52°


58. length of BC = 18, m e a s u r e of LA = 42°


59. length of AB = 25, m easu re of LA = 12°

tan A =

Vl3

3

13

656 Chapter 10 Ch ap t er Review