SOLUTION: What is TRUE about the graph of this quadratic inequality? y ≤ 5x² + 6x + 2 Points on the parabola are not solutions. The vertex is (-3/5, 1/5) . The parabola ope

Algebra ->  Inequalities -> SOLUTION: What is TRUE about the graph of this quadratic inequality? y ≤ 5x² + 6x + 2 Points on the parabola are not solutions. The vertex is (-3/5, 1/5) . The parabola ope      Log On


   

Question 1032991: What is TRUE about the graph of this quadratic inequality?
y ≤ 5x² + 6x + 2
Points on the parabola are not solutions.
The vertex is (-3/5, 1/5) .
The parabola opens down.
(0, 0) is not a solution.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y%3C=5x%5E2%2B6x%2B2

Put into standard form.

5%28x%5E2%2B%286%2F5%29x%29%2B2
5%28x%5E2%2B%286%2F5%29x%2B%286%2F10%29%5E2%29-5%286%2F10%5E2%29%2B2
5%28x%5E2%2B%286%2F5%29x%2B%283%2F5%29%5E2%29-5%283%2F5%29%5E2%2B2
5%28x%2B3%2F5%29%5E2%2B2-9%2F5
highlight%285%28x%2B3%2F5%29%5E2%2B1%2F5%29

Vertex IS (-3/5,1/5);

Check carefully about the points of the parabola being solutions. INCLUSIVE inequality. This should also be true.

Those are the only true choices of the four.