1. The square root function and its family.. By: Bothaina Mohammed

2. the square root function.. the square root function.. F(X)=√x

3. Upward shift of the graph of F by 2 units 2 F1 F(X)=√x +2

4. 2- 4 Downward shift of the graph of F by 2 units F2 F(X)=√x -2

5. 2- 2√ Shifting the graph of F to the left by 2 units F3 F(x)=√F(x)=√(x+2) F(x)=√

6. 2 Shifting the graph of F to the right by 2 untsts F4 FFFF (((( xxxx )))) ==== √√√√(x-2)

7. Multiply the scale of the y-axis by 2 “vertical stretching of the graph of F” F5 F(x)=2√F(x)=2√x F(x)=2√ 1 2

8. Dividing the scale of the x-axis by 2 “horizontal compression of the graph of F” F6 FFFF (((( xxxx )))) ==== √√√√2x 1 2 11.5

9. F(x)=-√F(x)=-√x F(x)=-√ Reflection of the graph of F through the x-axis F7

10. F8 Reflection of the graph of F through the y-axis F(x)=√F(x)=√-x F(x)=√

11. THANK YOU FOR YOUR ATTENTION