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anonymous

  • one year ago

Functions f(x) and g(x) are described as follows: f(x) = −5x2 + 9 x g(x) 0 0 1 4 2 8 3 4 4 0 Which statement best compares the maximum value of the two functions? It is equal for both functions. It is 3 units higher for f(x) than g(x). It is 3 units lower for f(x) than g(x). It is 1 unit higher for f(x) than g(x).

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  1. freckles
    • one year ago
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    Well have you found the max values of both functions?

  2. freckles
    • one year ago
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    f is already in vertex form

  3. anonymous
    • one year ago
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    no i havent.

  4. freckles
    • one year ago
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    \[f(x)=a(x-h)^2+k \\ \text{ if } a \text{ is negative then } k \text{ is a \max} \\ \text{ if } a \text{ is positive then } k \text{ is a \min}\]

  5. freckles
    • one year ago
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    And for g you just have to look for which g(x) value is the highest and that is the max

  6. anonymous
    • one year ago
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    I am very confused i am just learning this stuff.

  7. freckles
    • one year ago
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    compare the following two things: \[f(x)=a(x-h)^2+k \\ f(x)-5(x-0)^2+9\] is there anyway you can determine what k is

  8. freckles
    • one year ago
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    everything is lined up where it should be a is -5 h is 0 k is...

  9. anonymous
    • one year ago
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    9?

  10. freckles
    • one year ago
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    yes

  11. freckles
    • one year ago
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    now followed what I said above

  12. freckles
    • one year ago
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    since a is negative then k is a max

  13. freckles
    • one year ago
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    you did have a is -5 so k=9 is your max

  14. freckles
    • one year ago
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    9 is the max value of f

  15. freckles
    • one year ago
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    can you look at your list of g(x) values and just say what the highest number is listed there

  16. anonymous
    • one year ago
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    8?

  17. freckles
    • one year ago
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    yes so the max of g is 8

  18. freckles
    • one year ago
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    are you able to answer the question now?

  19. anonymous
    • one year ago
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    SO the answer is c?

  20. freckles
    • one year ago
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    so you think 9 is 3 units less than 8?

  21. anonymous
    • one year ago
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    OH

  22. anonymous
    • one year ago
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    Its D.

  23. freckles
    • one year ago
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    yes 9 is one more than 8

  24. freckles
    • one year ago
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    if you don't know the vertex form of a parabola you could graph the function given to you next time and just go to the peak of the mountain and find the highest y value there

  25. anonymous
    • one year ago
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    Can you help with 1 more?

  26. freckles
    • one year ago
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    I can try

  27. anonymous
    • one year ago
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    Mary wants to hang a mirror in her room. The mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x? Square with an inner frame with height of 2ft on the left frame and width of 3ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. x2 + 14x − 2 = 0 2x2 + 10x − 7 = 0 3x2 + 12x − 7 = 0 4x2 + 10x − 1 = 0

  28. anonymous
    • one year ago
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    let me get the graph

  29. anonymous
    • one year ago
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    http://prntscr.com/87afn6

  30. freckles
    • one year ago
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    |dw:1440176060259:dw|

  31. freckles
    • one year ago
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    ok so the area of that whole thing given is 7 ft^2

  32. freckles
    • one year ago
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    |dw:1440176151768:dw| what is the height of the rectangle?

  33. freckles
    • one year ago
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    I put black boxes around the numbers you might think interesting when answering that question

  34. anonymous
    • one year ago
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    So the answer is A.

  35. freckles
    • one year ago
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    Did you want to try to figure out the height of the rectangle?

  36. freckles
    • one year ago
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    Or did you want to guess at the choices of your question?

  37. anonymous
    • one year ago
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    please don't be rude. I thought that was the answer.

  38. freckles
    • one year ago
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    I wasn't being rude. You were ignoring my question.

  39. anonymous
    • one year ago
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    I was not.

  40. freckles
    • one year ago
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    but you never answered my question...

  41. anonymous
    • one year ago
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    Its 2x^2

  42. freckles
    • one year ago
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    the total height is x+2+x or 2x+2 |dw:1440176571442:dw|

  43. freckles
    • one year ago
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    can you find the base length of the rectangle

  44. freckles
    • one year ago
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    |dw:1440176598630:dw|

  45. anonymous
    • one year ago
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    3x?

  46. freckles
    • one year ago
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    try again

  47. freckles
    • one year ago
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    |dw:1440176627302:dw|