SOLUTION: f(x)=-x^2-4x intervals f is increasing and decreasing. Give the equation of the line that represents the axis of the parabola.

Question 672122: f(x)=-x^2-4x
intervals f is increasing and decreasing.
Give the equation of the line that represents the axis of the parabola.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
f(x)=-x^2-4x
intervals f is increasing and decreasing.
Give the equation of the line that represents the axis of the parabola.
.
axis of parabola:
x = -b/(2a)
x = -(-4)/(2(-1))
x = 4/(-2)
x = -2 (axis of parabola)
.
Since the coefficient associated with the x^2 term is negative, it is a parabola that opens downwards.
Therefore:
f is increasing in the region:
(-oo, -2)
and
f is decreasing in the region:
(-2, +oo)
where
oo is for infinity

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