# college algebra

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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

• college algebra -

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.

• college algebra -

• college algebra -

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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