# 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

Algebra ->  Algebra  -> Rational-functions -> 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      Log On

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Rational-functions 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(13828)   (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).