Graphing Square Root Functions

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Presentation transcript:

Graphing Square Root Functions ALGEBRA 1 LESSON 10-1 Find the domain of each function. a. y = x + 5 x + 5 0 Make the radicand 0. > – x –5 > – The domain is the set of all numbers greater than or equal to –5. b. y = 6 4x – 12 4x – 12 0 Make the radicand 0. > – 4x 12 > – x 3 The domain is the set of all numbers greater than or equal to 3. 10-1

Graphing Square Root Functions ALGEBRA 1 LESSON 10-1 The size of a television screen is the length of the screen’s diagonal d in inches.The equation d = 2A estimates the length of a diagonal of a television with screen area A. Graph the function. Domain 2A 0 A 0 > – 50 100 200 300 400 10 14.1 20 24.5 28.3 Screen Area (sq. in.) Length of Diagonal (in.) 10-1

Graphing Square Root Functions ALGEBRA 1 LESSON 10-1 Graph y = x + 4 by translating the graph of y = x . For the graph y = x + 4, the graph of y = x is shifted 4 units up. 10-1

Graphing Square Root Functions ALGEBRA 1 LESSON 10-1 Graph ƒ(x) = x + 3 by translating the graph of y = x . the graph of y = x is shifted to the left 3 units. For the graph ƒ(x) = x + 3, 10-1

Graphing Square Root Functions ALGEBRA 1 LESSON 10-1 1. Find the domain of the function ƒ(x) = 2x – 4. 2. Graph y = 3 x. 3. Graph y = x – 3. 4. Describe how to translate the graph of y = x to obtain the graph of the function y = x – 15. x > 2 Shift the graph to the right 15 units. 10-1