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- 1. Modified LTF activity
- 2. Graph y = 2x. Plot at least 5 points
- 3. Graph y = 2x. Plot at least 5 points Translate the graph 4 units to the right by moving each point 4 units to the right.
- 4. Graph y = 2x. Plot at least 5 points Translate the graph 4 units to the right by moving each point 4 units to the right. Write the equation of the translated line in slope-intercept form.
- 5. Graph y = 2x. Plot at least 5 points Translate the graph 4 units to the right by moving each point 4 units to the right. Write the equation of the translated line in slope-intercept form. Factor out the common factor in the translated equation.
- 6. Graph y = 2x. Plot at least 5 points Translate the graph 4 units to the right by moving each point 4 units to the right. Write the equation of the translated line in slope-intercept form. Factor out the common factor in the translated equation. What are the coordinates of the point to which the point (0,0) is translated?
- 7. Graph y = 2x. Plot at least 5 points Translate the graph 4 units to the right by moving each point 4 units to the right. Write the equation of the translated line in slope- intercept form. Factor out the common factor in the translated equation. What are the coordinates of the point to which the point (0,0) is translated? Where does the amount of translation appear in the factored form of the equation?
- 8. Graph y = 2x. Plot at least 5 points
- 9. Graph y = 2x. Plot at least 5 points Translate the graph 4 units to the left by moving each point 4 units to the left.
- 10. Graph y = 2x. Plot at least 5 points Translate the graph 4 units to the left by moving each point 4 units to the left. Write the equation of the translated line in slope-intercept form.
- 11. Graph y = 2x. Plot at least 5 points Translate the graph 4 units to the left by moving each point 4 units to the left. Write the equation of the translated line in slope-intercept form. Factor out the common factor in the translated equation.
- 12. Graph y = 2x. Plot at least 5 points Translate the graph 4 units to the left by moving each point 4 units to the left. Write the equation of the translated line in slope-intercept form. Factor out the common factor in the translated equation. What are the coordinates of the point to which the point (0,0) is translated?
- 13. Graph y = 2x. Plot at least 5 points Translate the graph 4 units to the left by moving each point 4 units to the left. Write the equation of the translated line in slope- intercept form. Factor out the common factor in the translated equation. What are the coordinates of the point to which the point (0,0) is translated? Where does the amount of translation appear in the factored form of the equation?
- 14. How do the equations from #1 and #2 differ?
- 15. How do the equations from #1 and #2 differ? How does this difference indicate the direction of the horizontal translation?
- 16. How do the equations from #1 and #2 differ? How does this difference indicate the direction of the horizontal translation? Explain why y = 2(x+4) and y = 2(x-(-4)) represent the same line.
- 17. How do the equations from #1 and #2 differ? How does this difference indicate the direction of the horizontal translation? Explain why y = 2(x+4) and y = 2(x-(-4)) represent the same line. What is the significance of the common factor?
- 18. Equation Slope New (0,0) Translation y = 3(x - 2) y = 4(x + 2) y = 10(x - 3) y = ½(x + 3) y = ½(x - 5)
- 19. Graph y = ¼ x. Plot at least 4 points.
- 20. Graph y = ¼ x. Plot at least 4 points. Translate the line to the right 2 units and up 3 units.
- 21. Graph y = ¼ x. Plot at least 4 points. Translate the line to the right 2 units and up 3 units. We know that the horizontal translation is an x movement and shows up at ¼ (x – 2). If the vertical translation is a y movement, what should we write next to y? Write the full equation.
- 22. Graph y = ¼ x. Plot at least 4 points. Translate the line to the right 2 units and up 3 units. We know that the horizontal translation is an x movement and shows up at ¼ (x – 2). If the vertical translation is a y movement, what should we write next to y? Write the full equation. Is the point (2,3) on the graph? How does it show up in the equation?
- 23. Graph y = 3x. Plot at least 4 points.
- 24. Graph y = 3x. Plot at least 4 points. Translate the line 1 unit left and 3 units down.
- 25. Graph y = 3x. Plot at least 4 points. Translate the line 1 unit left and 3 units down. Write the equation of the translated line.
- 26. Graph y = 3x. Plot at least 4 points. Translate the line 1 unit left and 3 units down. Write the equation of the translated line. What is the slope of this line? What point do we know for sure is on the line?
- 27. How does the equation tell us the horizontal translation? The vertical translation?
- 28. How does the equation tell us the horizontal translation? The vertical translation? What do you think is the most confusing part of the equation?
- 29. Equation Slope Point on Line Translation y – 3 = 4(x + 2) y + 4 = 2(x – 1) y + 5 = 3x y – 7 = x + 5 y = -2(x – 3)
- 30. This equation that shows the translation is written as y – y1 = m(x – x1) and is called POINT-SLOPE FORM. Justify this name.
- 31. This equation that shows the translation is written as y – y1 = m(x – x1) and is called POINT-SLOPE FORM. Justify this name. What does the m stand for? What do x1 and y1 stand for?
- 32. Slope Point Equation 5 (3, 5) 7 (-5, 9) -2 (2, -4) 1 (-3, -3) -1/2 (0, 4)

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