Question

Rewrite the following parabola in vertex form by completing the square

y= x^2 - 8x +13

Answer 1

• y = (x - 4)² - 3

Explanation:

Given parabola:

• y = x² - 8x + 13

Complete the square to convert the equation into vertex form:

• y = x² - 8x + 13 =
• x² - 2*x*4 + 4² - 4² + 13 =
• (x - 4)² - 16 + 13 =
• (x - 4)² - 3