SOLUTION: Hi, I have a few questions I'm having an extremely hard time figuring this out. 1. Find the vertex and intercepts of the parabola y=-3x^2+6 2. Solve the inequality, state

Question 314772: Hi, I have a few questions I'm having an extremely hard time figuring this out.
1. Find the vertex and intercepts of the parabola y=-3x^2+6
2. Solve the inequality, state the solution using the interval notation and graph it. x-3/x+5<0.
These are both for Math 209. Thank you so much for your time and help.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The parabola is already in vertex form,

where (h,k) is the vertex.
It's just a bit hidden.

The vertex is (0,6).

.
.
.
x-3/x+5<0.
Break up the number line into 3 regions.
Region 1: (,)
Region 2: (,)
Region 3: (,)
For each region, choose a point (not an endpoint) and test the inequality.
If the inequality is solved, that region is part of the solution.
.
.
.
Region 1:

False, this region is not part of the solution.
.
.
.
Region 2:

True, this region is part of the solution.
.
.
.
Region 3:

False, this region is not part of the solution.
.
.
.
Only Region 2 is the solution region.
(,)
.
.
.

.
.
.
The curve is below the x-axis(< 0) on in the region (-5,3).
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