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shelby1290

  • one year ago

Describe the steps needed to graph each of the following functions: a) f(x)=-x^2 + 34 b) f(x) =-5.5(x-6)^2+11 c) f(x)=1/10x^2+16 d) f(x) = -(x+18)^2+3

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  1. hwyl
    • one year ago
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    they're all quadratic, correct?

  2. shelby1290
    • one year ago
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    The steps are supposed to be described in words, i believe.

  3. hwyl
    • one year ago
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    so what do you know about quadratic functions?

  4. hwyl
    • one year ago
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    dot dot dot

  5. hwyl
    • one year ago
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    http://jwilson.coe.uga.edu/emt668/EMAT6680.Folders/Barron/unit/Lesson%206/6.html

  6. shelby1290
    • one year ago
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    @hwyl so what do i write down?

  7. hwyl
    • one year ago
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    read the contents of that website

  8. DanJS
    • one year ago
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    depends on what kind of resolution or general shape you need

  9. DanJS
    • one year ago
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    they are all quadratic, you can put them in y = ax^2 + bx + c form

  10. DanJS
    • one year ago
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    most important values to graph, Vertex x-intercept if any y-intercepts if any

  11. shelby1290
    • one year ago
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    @DanJS , @hwyl i don't think i can say the same answer for all of them though

  12. DanJS
    • one year ago
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    start with one of them, and explain and show how to get a basic graph

  13. DanJS
    • one year ago
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    f(x) = -x^2 + 34 vertex--- x = -b/(2*a) = -0/-2 = 0 y=f(0) = 34 Vertex is at (x,y) = (0,34)

  14. shelby1290
    • one year ago
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    okay so like for example with part a) Find the vertex, create a table of values, and graph them?

  15. DanJS
    • one year ago
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    the sin on the coefficient of the squarred term is negative, and tells you the parabola opens down...there will be x-intercepts x-intercepts are where y=0,, solve y = 0 = -x^2 + 34 plot the points (x,0)

  16. shelby1290
    • one year ago
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    It's just that i feel like the same steps are followed for the every question. So, i don't understand how you're supposed to find the steps for each one to differentiate in words

  17. DanJS
    • one year ago
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    yeah, i would find the vertex first, then find the x and y axis intercepts if they exist

  18. DanJS
    • one year ago
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    you can use numbers to, just explain what you are doing, and show the graph of each point you find

  19. DanJS
    • one year ago
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    You can list the values in a table if you want, but not really needed

  20. DanJS
    • one year ago
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    |dw:1443156593616:dw|

  21. DanJS
    • one year ago
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    You can draw all that from just finding the vertex (0,34)

  22. DanJS
    • one year ago
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    and knowing that the negative on the x^2 term means it opens down

  23. DanJS
    • one year ago
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    then find the values where the function crosses the x axis +a and -a points (+a , 0) and (-a , 0) Those are the x intercepts found by solving y = f(x) = 0 = -x^2 + 34

  24. DanJS
    • one year ago
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    that is all i would do, done

  25. shelby1290
    • one year ago
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    |dw:1443156876046:dw|

  26. shelby1290
    • one year ago
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    That's how the question is set up on my paper. ^^^ The question in its function notation with two lines underneath

  27. DanJS
    • one year ago
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    |dw:1443156913742:dw|

  28. shelby1290
    • one year ago
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    every question is set up like that so there's no room to graph or anything like that

  29. DanJS
    • one year ago
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    ok, just explaine however you need to how you would make a graph of that function

  30. DanJS
    • one year ago
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    if it is blank paper, i would assume you can draw and show equations as long as you back it up with a worded explination

  31. DanJS
    • one year ago
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    " the function is this, ----, this is how you find the vertex point, ----, this is how you determine the direction of the parabola, this is how you find the axis intercepts if they exist for the function "

  32. DanJS
    • one year ago
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    goodluck

  33. shelby1290
    • one year ago
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    @DanJS ahhh okay that makes more sense now. Thank you!

  34. DanJS
    • one year ago
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    if you want more detail you can pick any x value and solve for the corresponding y value, and add as many random points you want and build a table

  35. DanJS
    • one year ago
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    welcome, i think they just want the important points, so you can get a basic graph

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