SOLUTION: sketch the graph of f(x)=3(x-1)(x+4), state the x-intercepts and the co-ordinates of the vertex.

Question 253501: sketch the graph of f(x)=3(x-1)(x+4), state the x-intercepts and the co-ordinates of the vertex.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
When y =0, x=1 and x=-4
vertex= (-3/2,-75/4)=(-1.5,-18.75)
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y = 3 x^2+9 x-12

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=225 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1, -4. Here's your graph:

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