SOLUTION: Sketch the graph of the function y = 3 - 3x2. Label all intercepts.

Algebra.Com
Question 38642: Sketch the graph of the function y = 3 - 3x2. Label all intercepts.

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
y = 3 - 3x^2
The vertex is: (-b/2a,f(x)) so the vertex is: (0,3)
Now, pick other points to plot .... should look like the graph below:
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=36 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -1, 1. Here's your graph:
RELATED QUESTIONS

Sketch the graph of f(x) = x^2-6x +8. Label all x-intercept, y-intercepts and the... (answered by jim_thompson5910)
Sketch the graph of f(x) = (x-6)^2 + 2. Label all x-intercept, y-intercepts and the... (answered by jim_thompson5910)
"Find a linear function of the form f(x)=ax+b satisfying f(-3)=4 and f(2)=6. Carefully... (answered by Fombitz)
Write each function in vertex form. Sketch the graph of the function and label its... (answered by stanbon,jojo14344)
hey there, Any help would be appreciated, question is as follows : Sketch a... (answered by josgarithmetic)
# 7 sketch graph of the function. label coordinates of vertex. lesson 9.4. y=-x^2+2x-3 (answered by tutorcecilia)
sketch the graph of the function. label the vertex.... (answered by jim_thompson5910,mducky2)
Sketch the graph of the equation. Label the vertex and the intercepts.... (answered by Alan3354)
Quadratic relations 7) Sketch a graph of each quadratic. Label the x-intercepts and the... (answered by josmiceli)