SOLUTION: Hello. I need help with the following problem: Write the equation of the parabola: y=4x^2-8x+1 Thank you.

Question 37900: Hello. I need help with the following problem:
Write the equation of the parabola: y=4x^2-8x+1
Thank you.
Answer by Alwayscheerful(414) (Show Source): You can put this solution on YOUR website!
Don't know if you typed your question wrong, but the equation of the parabola is indeed
This might help.

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=48 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.86602540378444, 0.133974596215561. Here's your graph:

Hope this helps!
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