Question

3. Complete the square for the following equations:

a. y = 2x² 12x + 1

b. y = 4x² + 48x - 10

Answer 1

a. y = 2(x + 3)² - 17

b. y = 4(x + 6)² - 154

Explanation:

a. y = 2x² + 12x + 1

y = 2[(x² + 6x)] + 1

y = 2[(x + 3)² - 9] + 1

y = 2(x + 3)² - 18 + 1

y = 2(x + 3)² - 17

b. y = 4x² + 48x - 10

y = 4[(x² + 12x)] - 10

y = 4[(x + 6)² - 36)] - 10

y = 4(x + 6)² - 144 - 10

y = 4(x + 6)² - 154