Ask Question
2 November, 18:36

Rewrite the quadratic function in vertex form.

Y=5x^2-10x+2

+1
Answers (1)
  1. 2 November, 18:54
    0
    y = 5 (x - 1) ² - 3

    Step-by-step explanation:

    The equation of a quadratic in vertex form is

    y = a (x - h) ² + k

    where (h, k) are the coordinates of the vertex and a is a multiplier

    To obtain this form use the method of completing the square

    • The coefficient of the x² - term must be 1

    Factor out 5 from the first 2 terms

    y = 5 (x² - 2x) + 2

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

    y = 5 (x² + ( - 1) x + ( - 1) ² - ( - 1) ²) + 2 ← complete the square

    y = 5 (x - 1) ² - 5 + 2

    y = 5 (x - 1) ² - 3 ← in vertex form
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Rewrite the quadratic function in vertex form. Y=5x^2-10x+2 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers