Posted by zach w on Wednesday, November 14, 2012 at 12:26pm.
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.
im still having a hard time please help a little more
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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