The image of a parabolic mirror is sketched on a graph. the image can be represented using the function y = 1/8x2 + 2, where x represents the horizontal distance from the maximum depth of the mirror and y represents the depth of the mirror as measured from the x-axis. how far away from the maximum depth is a point on the mirror that is 7/8 inches in depth? 3 inches 4 inches 5 inches 6 inch

3 inches depth

Step-by-step explanation:

Given the equation of the parabola is

y =

where x represents the horizontal distance from the maximum depth and y represents the depth of the mirror as measured from the x axis.

                     We need to find the distance from the center of the parabola which is 7/8 inches in depth from the mirror. Therefore substituting the value of x as 7/8 inches in the above equation, we can get the value of y.

∴y =

y =

y = 0.09+2

y = 2.09

y = 3 inches (approx )

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068