SOLUTION: Graph each equation. Label the vertex, focus and directrix x^2-6x+10y=1

Question 39958: Graph each equation. Label the vertex, focus and directrix
x^2-6x+10y=1
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!

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=0.4 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.16227766016838, 6.16227766016838. Here's your graph:

You should be able to pick the information from what is above.
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