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anonymous

  • one year ago

What statement correctly describes the key features of the graph of f(x) = 4(1/2)^x + 1 − 3?

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  1. anonymous
    • one year ago
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    @phi

  2. anonymous
    • one year ago
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    Y-intercept of (0, −1), starts up on the left, gets closer to y = −3 on the right Y-intercept of (0, −1), starts down on the left, gets closer to y = −3 on the right Y-intercept of (0, 1), starts up on the left, gets closer to y = −3 on the right Y-intercept of (0, 1), starts down on the left, gets closer to y = −3 on the right

  3. phi
    • one year ago
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    is this \[ y = \left(\frac{1}{2}\right)^{x+1} -3 \]?

  4. anonymous
    • one year ago
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    you forgot the 4 in front of the 1/2

  5. anonymous
    • one year ago
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    other than that, you were right

  6. phi
    • one year ago
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    \[ y = 4\left(\frac{1}{2}\right)^{x+1} -3 \]

  7. anonymous
    • one year ago
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    yes! :)

  8. phi
    • one year ago
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    the y-intercept is the y value when x is 0 any idea what y is when x=0?

  9. anonymous
    • one year ago
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    1?

  10. phi
    • one year ago
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    you erase the x and put 0 in its place in the formula what do you get ?

  11. anonymous
    • one year ago
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    ok hold on:)

  12. anonymous
    • one year ago
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    0+1=1 right?

  13. anonymous
    • one year ago
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    -1! sorry

  14. phi
    • one year ago
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    the exponent x+1 becomes 0+1 or just 1 now do (1/2)^ 1 which is just 1/2 then do 1/2 * 4 - 3 or 2 - 3 or -1

  15. phi
    • one year ago
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    follow?

  16. anonymous
    • one year ago
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    yes okay so now we can elimate some answer choices and yes i do

  17. phi
    • one year ago
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    yes, it's A or B

  18. phi
    • one year ago
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    what do you get for x= -2 any idea?

  19. anonymous
    • one year ago
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    hold on:)

  20. anonymous
    • one year ago
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    -5?

  21. phi
    • one year ago
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    x+1 becomes -2 + 1 = -1 now do (1/2)^(-1) the negative exponent means you can "flip" the fraction and make the exponent positive so you get 2^1 or just 2 now do 4*2-3 = 8-3 = 5

  22. anonymous
    • one year ago
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    Oh! I get it :)

  23. phi
    • one year ago
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    at x=2, y=5 at x=0, y= -1 starts high on the left and gets smaller (asymptotes to -3)

  24. phi
    • one year ago
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    **x=-2 , y=5

  25. anonymous
    • one year ago
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    I see, I see

  26. anonymous
    • one year ago
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    so would it be B?

  27. phi
    • one year ago
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    yes, I think B. The language is not very clear. (whoever wrote it flunked basic English)

  28. anonymous
    • one year ago
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    hahah! I totally agree<3 :D

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