SOLUTION: Could someone please help explain to me how to figue this problem? h(x) = -3x^2 I need to state the domain and range of this quadratic function as well as its solution set

Question 40499: Could someone please help explain to me how to figue this problem?
h(x) = -3x^2
I need to state the domain and range of this quadratic function as well as its solution set in interval notation. Any ideas?
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
The vertex is at the origin. Since is negative, the parabola opens down. The domain: all real values .... The range: .

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 : .

Discriminant d=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: 0, 0. Here's your graph:

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