What is the vertex form of y=2x^2-8x+1

Step-by-step explanation:

When comparing to standard form of a parabola:

Vertex form of a parabola is: , which is what we are trying to convert this quadratic equation into.

To do so, we can start by finding "h" in the original vertex form of a parabola. This can be found by using: .

Substitute in -8 for b and 2 for a.

Simplify this fraction.

The "h" value is 2. Now we can find the "k" value by substituting in 2 for x into the given quadratic equation.

Simplify.

We have the values of h and k for the original vertex form, so now we can plug these into the original vertex form. We already know a from the beginning (it is 2).

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