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Posted by on Friday, March 15, 2013 at 5:45pm.

Given the following quadratic equation find.
a) the vertex
b) the axis of symmetry
c) the intercepts
d) the domain
e) the range
f) the interval where the function is increasing
g) the interval where the function is decreasing
h) graph the function
y= -x^2-6x

  • College algebra - , Saturday, March 16, 2013 at 8:29pm

    Y = -x^2 - 6x.

    a. h = Xv = -b/2a = 6/-2 = -3
    k = -(-3)^2 - 6*-3 = 9
    V(h,k)=(-3,9).

    b. Axis = h = Xv = -3.

    c. Y = -x^2 - 6x = 0.
    x(-x-6) = 0
    X = 0 = x-Intercept.
    -x-6 = 0
    X = -6. = X-Intercept.

    d. Domain = All real values of X.

    e.

    f. X = -6 to -3.

    g. X = -3 to 0.

    h. Use the following points for graphing:

    (X,Y)
    (-5,5)
    (-4,8)
    V(-3,9)
    (-2,8)
    (-1,5).

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