SOLUTION: How do you find the y-Intercept of f(x)= -x^2+4x-1

Question 531094: How do you find the y-Intercept of f(x)= -x^2+4x-1
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
y-intercept occurs where x = 0.
That will be (0,-1).
.
-x^2 +4x -1 = 0
.

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=12 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.267949192431123, 3.73205080756888. Here's your graph:

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