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anonymous

  • one year ago

Two quadratic functions are shown. Function 1: f(x) = 2x2 − 8x + 1 Function 2: x g(x) −2 2 −1 −3 0 2 1 17 Which function has the least minimum value and what are its coordinates? Function 1 has the least minimum value and its coordinates are (0, 1). Function 1 has the least minimum value and its coordinates are (2, −7). Function 2 has the least minimum value and its coordinates are (0, 2). Function 2 has the least minimum value and its coordinates are (−1, −3).

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  1. anonymous
    • one year ago
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    @campbell_st

  2. anonymous
    • one year ago
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    any help

  3. campbell_st
    • one year ago
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    ok.... in the 2nd function, g(x) what is the lowest value in the g(x) column... and what x value is associated with it

  4. anonymous
    • one year ago
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    ok is it -2,2 @campbell_st

  5. campbell_st
    • one year ago
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    no... look down the g(x) column 1st... what is the lowest value...?

  6. anonymous
    • one year ago
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    -3

  7. campbell_st
    • one year ago
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    great and the x value associated with is it -1 so g(x) has a minimum at (-1, -3)

  8. campbell_st
    • one year ago
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    so is this algebra or calculus..?

  9. anonymous
    • one year ago
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    thank uu

  10. anonymous
    • one year ago
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    algebra

  11. campbell_st
    • one year ago
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    well you have to look at f(x) as well

  12. campbell_st
    • one year ago
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    ok for f(x) you need to find the line of symmetry, the minimum value lies on the line of symmetry so use \[x = \frac{-b}{2 \times a}\] your f(x) has b = -8 and a = 2 can you substitute them and calculate a value for x

  13. anonymous
    • one year ago
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    x=-2

  14. anonymous
    • one year ago
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    @campbell_st

  15. campbell_st
    • one year ago
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    not quite its x = 2 \[x = \frac{-(-8)}{2 \times 2} = 2\] so substitute x = 2 into f(x) and calculate a value... this will be the minimum for f(x)

  16. anonymous
    • one year ago
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    im confused

  17. campbell_st
    • one year ago
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    find \[f(2) = 2\times 2^2 - 8 \times 2 + 1\]

  18. anonymous
    • one year ago
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    -7

  19. anonymous
    • one year ago
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    @campbell_st

  20. campbell_st
    • one year ago
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    ok... so now which point is lower (2, -7) or (-1, -3)...?|dw:1437682422778:dw|

  21. anonymous
    • one year ago
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    2,-7

  22. campbell_st
    • one year ago
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    there's your answer

  23. anonymous
    • one year ago
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    thanks

  24. anonymous
    • one year ago
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    u think u can help with a few more

  25. anonymous
    • one year ago
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    @campbell_st

  26. campbell_st
    • one year ago
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    no, i'm about to go to school... its friday morning in Australia

  27. anonymous
    • one year ago
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    oh ok

  28. anonymous
    • one year ago
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    thx anyways

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