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Math Help - Graphing Equations

  1. #1
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    Graphing Equations

    Practice Consider the following.
    y2 = -7x

    Graph the equation. Find any intercepts. (There may be more than one intercept per axis.)
    x-intercept
    x-intercept

    y-intercept


    Find the symmetries, if any. (Select all that apply.)

    symmetric about the x-axis
    symmetric about the y-axis
    symmetric about the origin
    no symmetries
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  2. #2
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    Hi,

    A good start would be graphing the equation. It's probably best to slightly re-arrange the equation so y is on the left by itself.

    if you can't see the equation straight away, try plotting a few points, you should then see the graph quite easily. The you should see the symmetries etc on the graph.
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  3. #3
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    Still confused...

    How do I actually graph it...put in 0 for x and solve?
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  4. #4
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    put in a x, get a y. That's one point. Continue until you think there are sufficient points, and then connect them together with a curve or line.
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  5. #5
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    Yes, if you put in x, and work out y and plot this point on a graph.

    The put in other values for x, such as 1, 2, 3... and also -1, -2, -3 and find values of y for each of these. If you join up the points you should get a graph. (The graph should be a straight line in your case.)
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  6. #6
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    All positive values for x will not give you an answer, start with zero and go into the negatives.
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  7. #7
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    Assuming that you mean y^2, the equation will not be a straight line. If you mean 2y, then disregard my previous post.
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  8. #8
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    Yes, if you mean y^2 then you will not be able to find solutions to negative values of x!

    And, of course, the graph will not be a straight line.
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  9. #9
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    Not negative values of x, but negative values on the right side, which only occur if x > 0.
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  10. #10
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    now you got me really confused....
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  11. #11
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    First, do you mean y^2 as in y squared? I'm going to assume yes.

    Then the square of a number is never negative, so you know the left side of the equation is never negative. -7x is only negative when x > 0, so put any x not greater than 0 into the equation. Mark down the points and then connect them

    Hint: It's a sideways parabola facing the left, that is relatively wide.
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