SOLUTION: I am having trouble solving: Y= -3x^2-6x-5, I have to graph it, so I need to know the x values, the y values, the x intercepts, the y itercepts and vertex

Question 252391: I am having trouble solving: Y= -3x^2-6x-5, I have to graph it, so I need to know the x values, the y values, the x intercepts, the y itercepts and vertex
Found 2 solutions by richwmiller, edjones:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
y=-3x^2-6x-5
there are no real solutions
it is a parabola facing down
it can't be factored
if x=0 then y=-5
use the quadratic formula to solve
it only crosses the y axis once
it never cross the x axis
the vertex is-1,-2

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -24 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -24 is + or - .

The solution is

Here's your graph:

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
y= -3x^2-6x-5
.
Use whatever x values you wish and calculate the y values.
.
x intercepts (when y=0)
-3x^2-6x-5=0
There are none. There are no real zeros. Quadratic formula.
.
y intercepts (when x=0)
y=-5
.
vertex at x:
-b/2a
x= -(-6)/2(-3)
=6/-6=-1
at y=-3+6-5=-2
.

.
Ed
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