Asked by zach w

F(X)= -3x^2 -30x-70
what is the vertex
what is the axsis of symmetry
what are the intercept
what is the domain
what is the range
intervals increase
intervals decrease
Answered by Steve
you can see it's a parabola. By completing the square, you get

y = -3(x^2 + 10x + 25) + 5
y = -3(x+5)^2 + 5

you should be able to read off most of the answers you need from that.
Answered by zach w
im still having a hard time please help a little more
Answered by Steve
review what you know about the parabola

y = a(x-h)^2 + k

Here, we have
y = -3(x+5)^2 + 5
vertex at (-5,2)
axis at x = -5
y-intercept at (0,5)
x-intercepts where 3x^2+30x+70 = 0, or
x = 1/3 (-15±√15)
domain is all reals
range is all reals <= 5
increase for x < -5
decrease for x > -5

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