SOLUTION: graph {{{y=-3x^2-6x-5}}}

Question 252951: graph
Found 2 solutions by drk, oberobic:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
This is a quadratic opening down with vertex at(-1,-2)

Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
With a quadratic equation, your graph will have a single curve in it.
Given the equation:

.
First, you will need to factor it. The factors of 5 are 1 and 5. However, the coefficent of the x-squared term is minus 3. So we can try the quadratic formula, which reveals there is no solution involving only real numbers.
.
Looking at the graph of we can see it is a parabola opening downwards. It never touces the x-axis.
.

.
However, if the equation were:

we could factor it as

.
This factoring reveals there are solutions: x=-5 and x=-1/3.
Graphing this alternate equation we can inspect it to see the solution:

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