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i have a parabola has an equation y=12-x^2 . what is the specifications ?

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1 Answer

1. The parabola opens downward. (a<0)
2. The vertex is at point (0, 12)
3. The max. value in this function is {12}.
4. The axis of symmetry is y-axis.
5. What is the x- and y-intercepts?
    - for the x-intercept, we take the equation y = 12 - x2 and set y to zero and solve for x.
       12 - x2 = 0 ---> x2 = 12 ---> x = ±√12 the graph crosses the x-axis at - √12 and +√12.
   - for the y-intercept, likewise, set the x at zero and solve for y. This gives us 12.

 

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