The equation of a parabola is y = x^2 - 2x - 1. Write the equation in vertex form. Write any numbers as integers or simplified proper or improper fractions. ______

Complete the square: Complete the square for the x-terms. Add and subtract (2/2)^2 = 1 inside the equation. y = x^2 - 2x + 1 - 1 - 1Group and combine terms: Group the perfect square trinomial and combine the constants. y = (x^2 - 2x + 1) - 2Write as binomial squared: Write the perfect square trinomial as a binomial squared. y = (x - 1)^2 - 2Check vertex form: Check if the equation is now in vertex form, which is y = a(x - h)^2 + k. y = (x - 1)^2 - 2 is in vertex form with a = 1, h = 1, and k = -2.

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The equation of a parabola is $y = x^2 - 2x - 1$ . Write the equation in vertex form. $\newline$ Write any numbers as integers or simplified proper or improper fractions. $\newline$ ______

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Algebra 1

Write a quadratic function in vertex form

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Q. The equation of a parabola is

y = x^2 - 2x - 1

. Write the equation in vertex form.

\newline

Write any numbers as integers or simplified proper or improper fractions.

\newline

______

Complete the square: Complete the square for the $x$ -terms. $\newline$ Add and subtract $\left(\frac{2}{2}\right)^2 = 1$ inside the equation. $\newline$ $y = x^2 - 2x + 1 - 1 - 1$
Group and combine terms: Group the perfect square trinomial and combine the constants. $\newline$ $y = (x^2 - 2x + 1) - 2$
Write as binomial squared: Write the perfect square trinomial as a binomial squared. $\newline$ $y = (x - 1)^2 - 2$
Check vertex form: Check if the equation is now in vertex form, which is $y = a(x - h)^2 + k$ . $y = (x - 1)^2 - 2$ is in vertex form with $a = 1$ , $h = 1$ , and $k = -2$ .