SOLUTION: f(x)=-3x^2 make a table and a graph

Question 213428: f(x)=-3x^2 make a table and a graph

Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
f(x)=-3x^2 make a table and a graph

Here's the list of points:
x......y=-3x^2
-5 -75
-4 -48
-3 -27
-2 -12
-1 -3
0 0
1 3
2 12
3 27
4 48
5 75

Here's the graph:

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:

Note: The vertex is (0,0)

I hope the above steps were helpful.

And good luck in your studies!

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Respectfully,
Dr J

RELATED QUESTIONS
f(x)=-3x^2 make a table and a graph (answered by rapaljer)

f(x)=2x+1 make a table and graph (answered by solver91311)

how do you make a table and graph the function f(x)=1/2 of x... (answered by Theo)

plot F(x) and g(x) on the same graph. do not use a t-table f(x)=x^2+2x+3... (answered by lynnlo)

Make a table and graph... (answered by rmromero)

make a table and graph to solve, x-2y=2, for the domain of... (answered by Mathtut)

make a graph of f(x)= 3x^2+3x-6/x^2+x-12. list all asymptotes, domains, and the x,y... (answered by MathLover1)

Make a table of ordered pairs and graph each function. then state the function's domain... (answered by josgarithmetic)

Make a table of values and sketch the graph of the equation. y = 3x + 3 (answered by lynnlo)