SQUARE ROOT Functions Radical functions

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Presentation transcript:

SQUARE ROOT Functions Radical functions 4/7/2019 4:10 AM 8-7: Square Root Graphs

Review A radical function is a function whose rule is a radical expression, which include the square-root function, 4/7/2019 4:10 AM 8-7: Square Root Graphs

4/7/2019 4:10 AM 8-7: Square Root Graphs

EXAMPLE 1 Graph each function and identify its domain and range of x g(x) Range: Domain: 4/7/2019 4:10 AM 8-7: Square Root Graphs

EXAMPLE 2 Using the graph, f(x) = , as a guide, describe the transformation, identify the domain and range, and graph the function, Domain: g(x) Range: g(x) translates 4 units right 4/7/2019 4:10 AM 8-7: Square Root Graphs

EXAMPLE 3 g(x) translates 4 units down Using the parent function as a guide, describe the transformation, identify the domain and range, and graph the function, Domain: Range: g(x) g(x) translates 4 units down 4/7/2019 4:10 AM 8-7: Square Root Graphs

Your Turn Using the parent function as a guide, describe the transformation, identify the domain and range, and graph the function, Range: Domain: g(x) translates 5 units left and 5 units down 4/7/2019 4:10 AM 8-7: Square Root Graphs

Your Turn Graph each function and identify its domain and range of g(x) translates 1 unit right, 3 units up and stretches by a factor of 2 4/7/2019 4:10 AM 8-7: Square Root Graphs

Example 3: Applying Multiple Transformations Using the graph of as a guide, describe the transformation from f to g . • Reflect f across the x-axis, and translate it 4 units to the right.