Mathematics: Express in vertex form Y=2x^2 - 2x - 5

Express in vertex form Y=2x^2 - 2x - 5 - id222514739212, lakeithiat1320

trivettkrchs6060

09.11.2021

y = 2(x - $\frac{1}{2}$ )² - $\frac{11}{2}$

Step-by-step explanation:

y = 2x² - 2x - 5 ← factor out 2 from the first 2 terms

= 2(x² - x) - 5

Using the method of completing the square

add/subtract (half the coefficient of the x- term)² to x² - x

y = 2(x² + 2(- $\frac{1}{2}$ ) x + $\frac{1}{4}$ - $\frac{1}{4}$ ) - 5

= 2(x - $\frac{1}{2}$ )² + 2(- $\frac{1}{4}$ ) - 5

= 2(x - $\frac{1}{2}$ )² - $\frac{1}{2}$ - 5

= 2(x - $\frac{1}{2}$ )² - $\frac{11}{2}$ ← in vertex form

0,0(0 оценок)

jumanar9472

25.02.2022

What do you need help with?

Step-by-step explanation:

0,0(0 оценок)