7-8 Graphing Square root and other radical functions

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Presentation transcript:

7-8 Graphing Square root and other radical functions

Graph y = (x+2 ) 2 2. y = (x – 3 ) 2 3. y = -(x+4 ) 2 4. y = - 𝑥 2 - 1 5. y = -(x+1 ) 2 + 1 6. y = 3𝑥 2 +3

Graphing the square root function Graph the function: y = 𝑥

Translating Square Root Functions Vertically Graph: y = 𝑥 + 1 Graph: y = 𝑥 -1

Translating Square Root Functions Horizontally Graph: y = 𝑥+3 Graph: y = 𝑥−2

Graphing Square Root Functions Graph: y = 𝑥+1 - 3 Graph: y = - 𝑥+1 −3

Graphing Square Root Functions Graph: y = 2 𝑥−2 −4 Graph: y = 1 4 𝑥−2 −4

Graphing the square root function Graph the function: y = 3 𝑥

Translating Cube root functions vertically y = 3 𝑥 +2 y = 3 𝑥 −1

Translating Cube root functions horizontally y = 3 𝑥+3 y = 3 𝑥−2

Graphing Cube root functions y = - 3 𝑥+1 −3

Graphing Cube root functions y = -2 3 𝑥−2 −4 y = 1 4 3 𝑥−2 −4

Rewriting Radical functions 𝑦= 4𝑥 −12

Rewriting Radical functions 𝑦= 9𝑥+18

Rewriting Radical functions 𝑦 3 8𝑥 −24